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Finding the Fourth Proportional to 14,842.83, 22,264.92 and 8,264.06

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Solution

The fourth proportional to 14,842.83, 22,264.92 and 8,264.06 is: 12,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.83 : 22,264.92 = 8,264.06 : x
  2. Step 2: Convert to fraction form
    14,842.83/22,264.92 = 8,264.06/x
  3. Step 3: Cross multiply
    14,842.83x = 22,264.92 × 8,264.06
  4. Step 4: Simplify right side
    14,842.83x = 183,998,634.78
  5. Step 5: Solve for x
    x = 183,998,634.78/14,842.83
  6. Step 6: Final answer
    x = 12,396.47

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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.