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Finding the Fourth Proportional to 16,418.57, 22,657.59 and 9,706.61

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Solution

The fourth proportional to 16,418.57, 22,657.59 and 9,706.61 is: 13,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418.57 : 22,657.59 = 9,706.61 : x
  2. Step 2: Convert to fraction form
    16,418.57/22,657.59 = 9,706.61/x
  3. Step 3: Cross multiply
    16,418.57x = 22,657.59 × 9,706.61
  4. Step 4: Simplify right side
    16,418.57x = 219,928,276.38
  5. Step 5: Solve for x
    x = 219,928,276.38/16,418.57
  6. Step 6: Final answer
    x = 13,395.10

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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.