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Finding the Fourth Proportional to 25,214.56, 37,821.92 and 7,684.32

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Solution

The fourth proportional to 25,214.56, 37,821.92 and 7,684.32 is: 11,526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.56 : 37,821.92 = 7,684.32 : x
  2. Step 2: Convert to fraction form
    25,214.56/37,821.92 = 7,684.32/x
  3. Step 3: Cross multiply
    25,214.56x = 37,821.92 × 7,684.32
  4. Step 4: Simplify right side
    25,214.56x = 290,635,736.29
  5. Step 5: Solve for x
    x = 290,635,736.29/25,214.56
  6. Step 6: Final answer
    x = 11,526.50

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.