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Finding the Fourth Proportional to 14,432.62, 21,649.53 and 4,571.68

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Solution

The fourth proportional to 14,432.62, 21,649.53 and 4,571.68 is: 6,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.62 : 21,649.53 = 4,571.68 : x
  2. Step 2: Convert to fraction form
    14,432.62/21,649.53 = 4,571.68/x
  3. Step 3: Cross multiply
    14,432.62x = 21,649.53 × 4,571.68
  4. Step 4: Simplify right side
    14,432.62x = 98,974,686.33
  5. Step 5: Solve for x
    x = 98,974,686.33/14,432.62
  6. Step 6: Final answer
    x = 6,857.71

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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.