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Finding the Fourth Proportional to 14,489.82, 21,732.17 and 6,590.49

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Solution

The fourth proportional to 14,489.82, 21,732.17 and 6,590.49 is: 9,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489.82 : 21,732.17 = 6,590.49 : x
  2. Step 2: Convert to fraction form
    14,489.82/21,732.17 = 6,590.49/x
  3. Step 3: Cross multiply
    14,489.82x = 21,732.17 × 6,590.49
  4. Step 4: Simplify right side
    14,489.82x = 143,225,649.06
  5. Step 5: Solve for x
    x = 143,225,649.06/14,489.82
  6. Step 6: Final answer
    x = 9,884.57

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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.