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Finding the Fourth Proportional to 14,414.32, 19,891.88 and 8,446.16

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Solution

The fourth proportional to 14,414.32, 19,891.88 and 8,446.16 is: 11,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.32 : 19,891.88 = 8,446.16 : x
  2. Step 2: Convert to fraction form
    14,414.32/19,891.88 = 8,446.16/x
  3. Step 3: Cross multiply
    14,414.32x = 19,891.88 × 8,446.16
  4. Step 4: Simplify right side
    14,414.32x = 168,010,001.18
  5. Step 5: Solve for x
    x = 168,010,001.18/14,414.32
  6. Step 6: Final answer
    x = 11,655.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.