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Finding the Fourth Proportional to 26,154, 36,042.12 and 16,706.16

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Solution

The fourth proportional to 26,154, 36,042.12 and 16,706.16 is: 23,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,154 : 36,042.12 = 16,706.16 : x
  2. Step 2: Convert to fraction form
    26,154/36,042.12 = 16,706.16/x
  3. Step 3: Cross multiply
    26,154x = 36,042.12 × 16,706.16
  4. Step 4: Simplify right side
    26,154x = 602,125,423.46
  5. Step 5: Solve for x
    x = 602,125,423.46/26,154
  6. Step 6: Final answer
    x = 23,022.31

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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.