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Finding the Fourth Proportional to 24,142.43, 36,222.87 and 9,352.50

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Solution

The fourth proportional to 24,142.43, 36,222.87 and 9,352.50 is: 14,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142.43 : 36,222.87 = 9,352.50 : x
  2. Step 2: Convert to fraction form
    24,142.43/36,222.87 = 9,352.50/x
  3. Step 3: Cross multiply
    24,142.43x = 36,222.87 × 9,352.50
  4. Step 4: Simplify right side
    24,142.43x = 338,774,417.42
  5. Step 5: Solve for x
    x = 338,774,417.42/24,142.43
  6. Step 6: Final answer
    x = 14,032.32

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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.