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Finding the Fourth Proportional to 24,320.32, 33,562.06 and 13,142.32

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Solution

The fourth proportional to 24,320.32, 33,562.06 and 13,142.32 is: 18,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,320.32 : 33,562.06 = 13,142.32 : x
  2. Step 2: Convert to fraction form
    24,320.32/33,562.06 = 13,142.32/x
  3. Step 3: Cross multiply
    24,320.32x = 33,562.06 × 13,142.32
  4. Step 4: Simplify right side
    24,320.32x = 441,083,332.38
  5. Step 5: Solve for x
    x = 441,083,332.38/24,320.32
  6. Step 6: Final answer
    x = 18,136.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.