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Finding the Fourth Proportional to 24,643.38, 34,005.24 and 14,572.20

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Solution

The fourth proportional to 24,643.38, 34,005.24 and 14,572.20 is: 20,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.38 : 34,005.24 = 14,572.20 : x
  2. Step 2: Convert to fraction form
    24,643.38/34,005.24 = 14,572.20/x
  3. Step 3: Cross multiply
    24,643.38x = 34,005.24 × 14,572.20
  4. Step 4: Simplify right side
    24,643.38x = 495,531,158.33
  5. Step 5: Solve for x
    x = 495,531,158.33/24,643.38
  6. Step 6: Final answer
    x = 20,108.08

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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.