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Finding the Fourth Proportional to 24,516.67, 36,742.70 and 9,717.52

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Solution

The fourth proportional to 24,516.67, 36,742.70 and 9,717.52 is: 14,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.67 : 36,742.70 = 9,717.52 : x
  2. Step 2: Convert to fraction form
    24,516.67/36,742.70 = 9,717.52/x
  3. Step 3: Cross multiply
    24,516.67x = 36,742.70 × 9,717.52
  4. Step 4: Simplify right side
    24,516.67x = 357,047,922.10
  5. Step 5: Solve for x
    x = 357,047,922.10/24,516.67
  6. Step 6: Final answer
    x = 14,563.48

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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.