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Finding the Fourth Proportional to 16,981.60, 23,436.08 and 9,429.38

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Solution

The fourth proportional to 16,981.60, 23,436.08 and 9,429.38 is: 13,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981.60 : 23,436.08 = 9,429.38 : x
  2. Step 2: Convert to fraction form
    16,981.60/23,436.08 = 9,429.38/x
  3. Step 3: Cross multiply
    16,981.60x = 23,436.08 × 9,429.38
  4. Step 4: Simplify right side
    16,981.60x = 220,987,704.03
  5. Step 5: Solve for x
    x = 220,987,704.03/16,981.60
  6. Step 6: Final answer
    x = 13,013.36

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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.