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Finding the Fourth Proportional to 15,606.27, 23,404.25 and 7,809.75

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Solution

The fourth proportional to 15,606.27, 23,404.25 and 7,809.75 is: 11,712.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.27 : 23,404.25 = 7,809.75 : x
  2. Step 2: Convert to fraction form
    15,606.27/23,404.25 = 7,809.75/x
  3. Step 3: Cross multiply
    15,606.27x = 23,404.25 × 7,809.75
  4. Step 4: Simplify right side
    15,606.27x = 182,781,302.39
  5. Step 5: Solve for x
    x = 182,781,302.39/15,606.27
  6. Step 6: Final answer
    x = 11,712.04

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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.