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Finding the Fourth Proportional to 17,001.64, 23,462.10 and 9,344.92

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Solution

The fourth proportional to 17,001.64, 23,462.10 and 9,344.92 is: 12,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.64 : 23,462.10 = 9,344.92 : x
  2. Step 2: Convert to fraction form
    17,001.64/23,462.10 = 9,344.92/x
  3. Step 3: Cross multiply
    17,001.64x = 23,462.10 × 9,344.92
  4. Step 4: Simplify right side
    17,001.64x = 219,251,447.53
  5. Step 5: Solve for x
    x = 219,251,447.53/17,001.64
  6. Step 6: Final answer
    x = 12,895.90

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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.