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Finding the Fourth Proportional to 14,591.67, 20,272.44 and 14,416.71

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Solution

The fourth proportional to 14,591.67, 20,272.44 and 14,416.71 is: 20,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.67 : 20,272.44 = 14,416.71 : x
  2. Step 2: Convert to fraction form
    14,591.67/20,272.44 = 14,416.71/x
  3. Step 3: Cross multiply
    14,591.67x = 20,272.44 × 14,416.71
  4. Step 4: Simplify right side
    14,591.67x = 292,261,888.47
  5. Step 5: Solve for x
    x = 292,261,888.47/14,591.67
  6. Step 6: Final answer
    x = 20,029.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.