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Finding the Fourth Proportional to 22,691.53, 34,040.94 and 9,547.66

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Solution

The fourth proportional to 22,691.53, 34,040.94 and 9,547.66 is: 14,323.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,691.53 : 34,040.94 = 9,547.66 : x
  2. Step 2: Convert to fraction form
    22,691.53/34,040.94 = 9,547.66/x
  3. Step 3: Cross multiply
    22,691.53x = 34,040.94 × 9,547.66
  4. Step 4: Simplify right side
    22,691.53x = 325,011,321.20
  5. Step 5: Solve for x
    x = 325,011,321.20/22,691.53
  6. Step 6: Final answer
    x = 14,323.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.