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Finding the Fourth Proportional to 24,459.92, 36,682.19 and 10,419.80

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Solution

The fourth proportional to 24,459.92, 36,682.19 and 10,419.80 is: 15,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,459.92 : 36,682.19 = 10,419.80 : x
  2. Step 2: Convert to fraction form
    24,459.92/36,682.19 = 10,419.80/x
  3. Step 3: Cross multiply
    24,459.92x = 36,682.19 × 10,419.80
  4. Step 4: Simplify right side
    24,459.92x = 382,220,926.00
  5. Step 5: Solve for x
    x = 382,220,926.00/24,459.92
  6. Step 6: Final answer
    x = 15,626.42

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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.