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Finding the Fourth Proportional to 24,710.38, 34,100.34 and 14,103.43

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Solution

The fourth proportional to 24,710.38, 34,100.34 and 14,103.43 is: 19,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.38 : 34,100.34 = 14,103.43 : x
  2. Step 2: Convert to fraction form
    24,710.38/34,100.34 = 14,103.43/x
  3. Step 3: Cross multiply
    24,710.38x = 34,100.34 × 14,103.43
  4. Step 4: Simplify right side
    24,710.38x = 480,931,758.17
  5. Step 5: Solve for x
    x = 480,931,758.17/24,710.38
  6. Step 6: Final answer
    x = 19,462.74

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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.