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Finding the Fourth Proportional to 24,461.38, 36,705.91 and 10,419.94

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Solution

The fourth proportional to 24,461.38, 36,705.91 and 10,419.94 is: 15,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,461.38 : 36,705.91 = 10,419.94 : x
  2. Step 2: Convert to fraction form
    24,461.38/36,705.91 = 10,419.94/x
  3. Step 3: Cross multiply
    24,461.38x = 36,705.91 × 10,419.94
  4. Step 4: Simplify right side
    24,461.38x = 382,473,419.22
  5. Step 5: Solve for x
    x = 382,473,419.22/24,461.38
  6. Step 6: Final answer
    x = 15,635.81

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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.