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Finding the Fourth Proportional to 24,766, 34,177.68 and 13,588

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Solution

The fourth proportional to 24,766, 34,177.68 and 13,588 is: 18,751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,766 : 34,177.68 = 13,588 : x
  2. Step 2: Convert to fraction form
    24,766/34,177.68 = 13,588/x
  3. Step 3: Cross multiply
    24,766x = 34,177.68 × 13,588
  4. Step 4: Simplify right side
    24,766x = 464,406,315.84
  5. Step 5: Solve for x
    x = 464,406,315.84/24,766
  6. Step 6: Final answer
    x = 18,751.77

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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.