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Finding the Fourth Proportional to 16,902.40, 23,325.11 and 9,348.14

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Solution

The fourth proportional to 16,902.40, 23,325.11 and 9,348.14 is: 12,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.40 : 23,325.11 = 9,348.14 : x
  2. Step 2: Convert to fraction form
    16,902.40/23,325.11 = 9,348.14/x
  3. Step 3: Cross multiply
    16,902.40x = 23,325.11 × 9,348.14
  4. Step 4: Simplify right side
    16,902.40x = 218,046,265.48
  5. Step 5: Solve for x
    x = 218,046,265.48/16,902.40
  6. Step 6: Final answer
    x = 12,900.32

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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.