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Finding the Fourth Proportional to 25,637.64, 38,470.14 and 10,055.40

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Solution

The fourth proportional to 25,637.64, 38,470.14 and 10,055.40 is: 15,088.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,637.64 : 38,470.14 = 10,055.40 : x
  2. Step 2: Convert to fraction form
    25,637.64/38,470.14 = 10,055.40/x
  3. Step 3: Cross multiply
    25,637.64x = 38,470.14 × 10,055.40
  4. Step 4: Simplify right side
    25,637.64x = 386,832,645.76
  5. Step 5: Solve for x
    x = 386,832,645.76/25,637.64
  6. Step 6: Final answer
    x = 15,088.47

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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.