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Finding the Fourth Proportional to 25,574.92, 38,362.38 and 9,781.56

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Solution

The fourth proportional to 25,574.92, 38,362.38 and 9,781.56 is: 14,672.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.92 : 38,362.38 = 9,781.56 : x
  2. Step 2: Convert to fraction form
    25,574.92/38,362.38 = 9,781.56/x
  3. Step 3: Cross multiply
    25,574.92x = 38,362.38 × 9,781.56
  4. Step 4: Simplify right side
    25,574.92x = 375,243,921.71
  5. Step 5: Solve for x
    x = 375,243,921.71/25,574.92
  6. Step 6: Final answer
    x = 14,672.34

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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.