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Finding the Fourth Proportional to 24,572.92, 33,911.50 and 13,963

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Solution

The fourth proportional to 24,572.92, 33,911.50 and 13,963 is: 19,269.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,572.92 : 33,911.50 = 13,963 : x
  2. Step 2: Convert to fraction form
    24,572.92/33,911.50 = 13,963/x
  3. Step 3: Cross multiply
    24,572.92x = 33,911.50 × 13,963
  4. Step 4: Simplify right side
    24,572.92x = 473,506,274.50
  5. Step 5: Solve for x
    x = 473,506,274.50/24,572.92
  6. Step 6: Final answer
    x = 19,269.43

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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.