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Finding the Fourth Proportional to 22,934.86, 34,407.14 and 7,363.42

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Solution

The fourth proportional to 22,934.86, 34,407.14 and 7,363.42 is: 11,046.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,934.86 : 34,407.14 = 7,363.42 : x
  2. Step 2: Convert to fraction form
    22,934.86/34,407.14 = 7,363.42/x
  3. Step 3: Cross multiply
    22,934.86x = 34,407.14 × 7,363.42
  4. Step 4: Simplify right side
    22,934.86x = 253,354,222.82
  5. Step 5: Solve for x
    x = 253,354,222.82/22,934.86
  6. Step 6: Final answer
    x = 11,046.69

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