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Finding the Fourth Proportional to 24,663, 34,038.28 and 13,910.08

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Solution

The fourth proportional to 24,663, 34,038.28 and 13,910.08 is: 19,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,663 : 34,038.28 = 13,910.08 : x
  2. Step 2: Convert to fraction form
    24,663/34,038.28 = 13,910.08/x
  3. Step 3: Cross multiply
    24,663x = 34,038.28 × 13,910.08
  4. Step 4: Simplify right side
    24,663x = 473,475,128.31
  5. Step 5: Solve for x
    x = 473,475,128.31/24,663
  6. Step 6: Final answer
    x = 19,197.79

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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.