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Finding the Fourth Proportional to 17,400.66, 24,013 and 9,442.96

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Solution

The fourth proportional to 17,400.66, 24,013 and 9,442.96 is: 13,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,400.66 : 24,013 = 9,442.96 : x
  2. Step 2: Convert to fraction form
    17,400.66/24,013 = 9,442.96/x
  3. Step 3: Cross multiply
    17,400.66x = 24,013 × 9,442.96
  4. Step 4: Simplify right side
    17,400.66x = 226,753,798.48
  5. Step 5: Solve for x
    x = 226,753,798.48/17,400.66
  6. Step 6: Final answer
    x = 13,031.33

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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.