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Finding the Fourth Proportional to 25,900.14, 38,825.01 and 16,510.86

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Solution

The fourth proportional to 25,900.14, 38,825.01 and 16,510.86 is: 24,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900.14 : 38,825.01 = 16,510.86 : x
  2. Step 2: Convert to fraction form
    25,900.14/38,825.01 = 16,510.86/x
  3. Step 3: Cross multiply
    25,900.14x = 38,825.01 × 16,510.86
  4. Step 4: Simplify right side
    25,900.14x = 641,034,304.61
  5. Step 5: Solve for x
    x = 641,034,304.61/25,900.14
  6. Step 6: Final answer
    x = 24,750.23

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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.