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Finding the Fourth Proportional to 14,549.68, 21,809.58 and 8,296.90

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Solution

The fourth proportional to 14,549.68, 21,809.58 and 8,296.90 is: 12,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.68 : 21,809.58 = 8,296.90 : x
  2. Step 2: Convert to fraction form
    14,549.68/21,809.58 = 8,296.90/x
  3. Step 3: Cross multiply
    14,549.68x = 21,809.58 × 8,296.90
  4. Step 4: Simplify right side
    14,549.68x = 180,951,904.30
  5. Step 5: Solve for x
    x = 180,951,904.30/14,549.68
  6. Step 6: Final answer
    x = 12,436.83

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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.