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Finding the Fourth Proportional to 24,700, 34,086 and 13,522

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Solution

The fourth proportional to 24,700, 34,086 and 13,522 is: 18,660.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700 : 34,086 = 13,522 : x
  2. Step 2: Convert to fraction form
    24,700/34,086 = 13,522/x
  3. Step 3: Cross multiply
    24,700x = 34,086 × 13,522
  4. Step 4: Simplify right side
    24,700x = 460,910,892
  5. Step 5: Solve for x
    x = 460,910,892/24,700
  6. Step 6: Final answer
    x = 18,660.36

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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.