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Finding the Fourth Proportional to 16,870, 23,280.62 and 9,418

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Solution

The fourth proportional to 16,870, 23,280.62 and 9,418 is: 12,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870 : 23,280.62 = 9,418 : x
  2. Step 2: Convert to fraction form
    16,870/23,280.62 = 9,418/x
  3. Step 3: Cross multiply
    16,870x = 23,280.62 × 9,418
  4. Step 4: Simplify right side
    16,870x = 219,256,879.16
  5. Step 5: Solve for x
    x = 219,256,879.16/16,870
  6. Step 6: Final answer
    x = 12,996.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.