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Finding the Fourth Proportional to 25,803.90, 38,713.14 and 10,013.76

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Solution

The fourth proportional to 25,803.90, 38,713.14 and 10,013.76 is: 15,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.90 : 38,713.14 = 10,013.76 : x
  2. Step 2: Convert to fraction form
    25,803.90/38,713.14 = 10,013.76/x
  3. Step 3: Cross multiply
    25,803.90x = 38,713.14 × 10,013.76
  4. Step 4: Simplify right side
    25,803.90x = 387,664,092.81
  5. Step 5: Solve for x
    x = 387,664,092.81/25,803.90
  6. Step 6: Final answer
    x = 15,023.47

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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.