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Finding the Fourth Proportional to 16,702.38, 23,053.95 and 16,449.66

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Solution

The fourth proportional to 16,702.38, 23,053.95 and 16,449.66 is: 22,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.38 : 23,053.95 = 16,449.66 : x
  2. Step 2: Convert to fraction form
    16,702.38/23,053.95 = 16,449.66/x
  3. Step 3: Cross multiply
    16,702.38x = 23,053.95 × 16,449.66
  4. Step 4: Simplify right side
    16,702.38x = 379,229,639.16
  5. Step 5: Solve for x
    x = 379,229,639.16/16,702.38
  6. Step 6: Final answer
    x = 22,705.13

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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.