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Finding the Fourth Proportional to 14,452.76, 19,943.88 and 8,165

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Solution

The fourth proportional to 14,452.76, 19,943.88 and 8,165 is: 11,267.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,452.76 : 19,943.88 = 8,165 : x
  2. Step 2: Convert to fraction form
    14,452.76/19,943.88 = 8,165/x
  3. Step 3: Cross multiply
    14,452.76x = 19,943.88 × 8,165
  4. Step 4: Simplify right side
    14,452.76x = 162,841,780.20
  5. Step 5: Solve for x
    x = 162,841,780.20/14,452.76
  6. Step 6: Final answer
    x = 11,267.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.