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Finding the Fourth Proportional to 24,713, 34,103.94 and 13,535

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Solution

The fourth proportional to 24,713, 34,103.94 and 13,535 is: 18,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713 : 34,103.94 = 13,535 : x
  2. Step 2: Convert to fraction form
    24,713/34,103.94 = 13,535/x
  3. Step 3: Cross multiply
    24,713x = 34,103.94 × 13,535
  4. Step 4: Simplify right side
    24,713x = 461,596,827.90
  5. Step 5: Solve for x
    x = 461,596,827.90/24,713
  6. Step 6: Final answer
    x = 18,678.30

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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.