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Finding the Fourth Proportional to 22,864.97, 34,298.06 and 6,225.14

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Solution

The fourth proportional to 22,864.97, 34,298.06 and 6,225.14 is: 9,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.97 : 34,298.06 = 6,225.14 : x
  2. Step 2: Convert to fraction form
    22,864.97/34,298.06 = 6,225.14/x
  3. Step 3: Cross multiply
    22,864.97x = 34,298.06 × 6,225.14
  4. Step 4: Simplify right side
    22,864.97x = 213,510,022.61
  5. Step 5: Solve for x
    x = 213,510,022.61/22,864.97
  6. Step 6: Final answer
    x = 9,337.87

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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.