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Finding the Fourth Proportional to 24,717, 34,109.58 and 13,539

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Solution

The fourth proportional to 24,717, 34,109.58 and 13,539 is: 18,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717 : 34,109.58 = 13,539 : x
  2. Step 2: Convert to fraction form
    24,717/34,109.58 = 13,539/x
  3. Step 3: Cross multiply
    24,717x = 34,109.58 × 13,539
  4. Step 4: Simplify right side
    24,717x = 461,809,603.62
  5. Step 5: Solve for x
    x = 461,809,603.62/24,717
  6. Step 6: Final answer
    x = 18,683.89

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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.