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Finding the Fourth Proportional to 14,842.38, 22,264.25 and 8,263.61

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Solution

The fourth proportional to 14,842.38, 22,264.25 and 8,263.61 is: 12,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.38 : 22,264.25 = 8,263.61 : x
  2. Step 2: Convert to fraction form
    14,842.38/22,264.25 = 8,263.61/x
  3. Step 3: Cross multiply
    14,842.38x = 22,264.25 × 8,263.61
  4. Step 4: Simplify right side
    14,842.38x = 183,983,078.94
  5. Step 5: Solve for x
    x = 183,983,078.94/14,842.38
  6. Step 6: Final answer
    x = 12,395.79

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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.