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Finding the Fourth Proportional to 25,294.78, 37,944.05 and 9,712.41

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Solution

The fourth proportional to 25,294.78, 37,944.05 and 9,712.41 is: 14,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.78 : 37,944.05 = 9,712.41 : x
  2. Step 2: Convert to fraction form
    25,294.78/37,944.05 = 9,712.41/x
  3. Step 3: Cross multiply
    25,294.78x = 37,944.05 × 9,712.41
  4. Step 4: Simplify right side
    25,294.78x = 368,527,979.81
  5. Step 5: Solve for x
    x = 368,527,979.81/25,294.78
  6. Step 6: Final answer
    x = 14,569.33

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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.