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Finding the Fourth Proportional to 24,729, 34,126.08 and 13,551

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Solution

The fourth proportional to 24,729, 34,126.08 and 13,551 is: 18,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729 : 34,126.08 = 13,551 : x
  2. Step 2: Convert to fraction form
    24,729/34,126.08 = 13,551/x
  3. Step 3: Cross multiply
    24,729x = 34,126.08 × 13,551
  4. Step 4: Simplify right side
    24,729x = 462,442,510.08
  5. Step 5: Solve for x
    x = 462,442,510.08/24,729
  6. Step 6: Final answer
    x = 18,700.41

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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.