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Finding the Fourth Proportional to 17,677.98, 24,400.17 and 10,959.66

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Solution

The fourth proportional to 17,677.98, 24,400.17 and 10,959.66 is: 15,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.98 : 24,400.17 = 10,959.66 : x
  2. Step 2: Convert to fraction form
    17,677.98/24,400.17 = 10,959.66/x
  3. Step 3: Cross multiply
    17,677.98x = 24,400.17 × 10,959.66
  4. Step 4: Simplify right side
    17,677.98x = 267,417,567.14
  5. Step 5: Solve for x
    x = 267,417,567.14/17,677.98
  6. Step 6: Final answer
    x = 15,127.16

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1.5x scale

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.