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Finding the Fourth Proportional to 11,701.32, 17,630.90 and 9,666.89

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Solution

The fourth proportional to 11,701.32, 17,630.90 and 9,666.89 is: 14,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.32 : 17,630.90 = 9,666.89 : x
  2. Step 2: Convert to fraction form
    11,701.32/17,630.90 = 9,666.89/x
  3. Step 3: Cross multiply
    11,701.32x = 17,630.90 × 9,666.89
  4. Step 4: Simplify right side
    11,701.32x = 170,435,882.75
  5. Step 5: Solve for x
    x = 170,435,882.75/11,701.32
  6. Step 6: Final answer
    x = 14,565.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.