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Finding the Fourth Proportional to 23,691.95, 35,526.02 and 7,891.38

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Solution

The fourth proportional to 23,691.95, 35,526.02 and 7,891.38 is: 11,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,691.95 : 35,526.02 = 7,891.38 : x
  2. Step 2: Convert to fraction form
    23,691.95/35,526.02 = 7,891.38/x
  3. Step 3: Cross multiply
    23,691.95x = 35,526.02 × 7,891.38
  4. Step 4: Simplify right side
    23,691.95x = 280,349,284.25
  5. Step 5: Solve for x
    x = 280,349,284.25/23,691.95
  6. Step 6: Final answer
    x = 11,833.11

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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.