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Finding the Fourth Proportional to 24,830, 34,265.40 and 13,652.08

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Solution

The fourth proportional to 24,830, 34,265.40 and 13,652.08 is: 18,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830 : 34,265.40 = 13,652.08 : x
  2. Step 2: Convert to fraction form
    24,830/34,265.40 = 13,652.08/x
  3. Step 3: Cross multiply
    24,830x = 34,265.40 × 13,652.08
  4. Step 4: Simplify right side
    24,830x = 467,793,982.03
  5. Step 5: Solve for x
    x = 467,793,982.03/24,830
  6. Step 6: Final answer
    x = 18,839.87

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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.