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Finding the Fourth Proportional to 25,215.56, 37,823.42 and 7,685.32

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Solution

The fourth proportional to 25,215.56, 37,823.42 and 7,685.32 is: 11,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,215.56 : 37,823.42 = 7,685.32 : x
  2. Step 2: Convert to fraction form
    25,215.56/37,823.42 = 7,685.32/x
  3. Step 3: Cross multiply
    25,215.56x = 37,823.42 × 7,685.32
  4. Step 4: Simplify right side
    25,215.56x = 290,685,086.19
  5. Step 5: Solve for x
    x = 290,685,086.19/25,215.56
  6. Step 6: Final answer
    x = 11,528.00

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