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Finding the Fourth Proportional to 24,638, 34,000.46 and 13,460

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Solution

The fourth proportional to 24,638, 34,000.46 and 13,460 is: 18,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638 : 34,000.46 = 13,460 : x
  2. Step 2: Convert to fraction form
    24,638/34,000.46 = 13,460/x
  3. Step 3: Cross multiply
    24,638x = 34,000.46 × 13,460
  4. Step 4: Simplify right side
    24,638x = 457,646,191.60
  5. Step 5: Solve for x
    x = 457,646,191.60/24,638
  6. Step 6: Final answer
    x = 18,574.81

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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.