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Finding the Fourth Proportional to 24,102.74, 36,154.37 and 10,064.90

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Solution

The fourth proportional to 24,102.74, 36,154.37 and 10,064.90 is: 15,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.74 : 36,154.37 = 10,064.90 : x
  2. Step 2: Convert to fraction form
    24,102.74/36,154.37 = 10,064.90/x
  3. Step 3: Cross multiply
    24,102.74x = 36,154.37 × 10,064.90
  4. Step 4: Simplify right side
    24,102.74x = 363,890,118.61
  5. Step 5: Solve for x
    x = 363,890,118.61/24,102.74
  6. Step 6: Final answer
    x = 15,097.46

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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.