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Finding the Fourth Proportional to 24,918.30, 34,387.38 and 13,740.30

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Solution

The fourth proportional to 24,918.30, 34,387.38 and 13,740.30 is: 18,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,918.30 : 34,387.38 = 13,740.30 : x
  2. Step 2: Convert to fraction form
    24,918.30/34,387.38 = 13,740.30/x
  3. Step 3: Cross multiply
    24,918.30x = 34,387.38 × 13,740.30
  4. Step 4: Simplify right side
    24,918.30x = 472,492,917.41
  5. Step 5: Solve for x
    x = 472,492,917.41/24,918.30
  6. Step 6: Final answer
    x = 18,961.68

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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.