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Finding the Fourth Proportional to 14,486.80, 21,691.32 and 7,546.72

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Solution

The fourth proportional to 14,486.80, 21,691.32 and 7,546.72 is: 11,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.80 : 21,691.32 = 7,546.72 : x
  2. Step 2: Convert to fraction form
    14,486.80/21,691.32 = 7,546.72/x
  3. Step 3: Cross multiply
    14,486.80x = 21,691.32 × 7,546.72
  4. Step 4: Simplify right side
    14,486.80x = 163,698,318.47
  5. Step 5: Solve for x
    x = 163,698,318.47/14,486.80
  6. Step 6: Final answer
    x = 11,299.83

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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.