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Finding the Fourth Proportional to 24,051.68, 36,081.47 and 7,411.71

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Solution

The fourth proportional to 24,051.68, 36,081.47 and 7,411.71 is: 11,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,051.68 : 36,081.47 = 7,411.71 : x
  2. Step 2: Convert to fraction form
    24,051.68/36,081.47 = 7,411.71/x
  3. Step 3: Cross multiply
    24,051.68x = 36,081.47 × 7,411.71
  4. Step 4: Simplify right side
    24,051.68x = 267,425,354.96
  5. Step 5: Solve for x
    x = 267,425,354.96/24,051.68
  6. Step 6: Final answer
    x = 11,118.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.