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Finding the Fourth Proportional to 24,710.17, 34,097.68 and 14,638.63

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Solution

The fourth proportional to 24,710.17, 34,097.68 and 14,638.63 is: 20,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.17 : 34,097.68 = 14,638.63 : x
  2. Step 2: Convert to fraction form
    24,710.17/34,097.68 = 14,638.63/x
  3. Step 3: Cross multiply
    24,710.17x = 34,097.68 × 14,638.63
  4. Step 4: Simplify right side
    24,710.17x = 499,143,321.38
  5. Step 5: Solve for x
    x = 499,143,321.38/24,710.17
  6. Step 6: Final answer
    x = 20,199.91

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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.