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Finding the Fourth Proportional to 25,784.47, 38,618.92 and 22,409.47

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Solution

The fourth proportional to 25,784.47, 38,618.92 and 22,409.47 is: 33,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.47 : 38,618.92 = 22,409.47 : x
  2. Step 2: Convert to fraction form
    25,784.47/38,618.92 = 22,409.47/x
  3. Step 3: Cross multiply
    25,784.47x = 38,618.92 × 22,409.47
  4. Step 4: Simplify right side
    25,784.47x = 865,429,224.03
  5. Step 5: Solve for x
    x = 865,429,224.03/25,784.47
  6. Step 6: Final answer
    x = 33,563.98

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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.