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Finding the Fourth Proportional to 14,324.96, 19,767.17 and 8,357.15

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Solution

The fourth proportional to 14,324.96, 19,767.17 and 8,357.15 is: 11,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.96 : 19,767.17 = 8,357.15 : x
  2. Step 2: Convert to fraction form
    14,324.96/19,767.17 = 8,357.15/x
  3. Step 3: Cross multiply
    14,324.96x = 19,767.17 × 8,357.15
  4. Step 4: Simplify right side
    14,324.96x = 165,197,275.08
  5. Step 5: Solve for x
    x = 165,197,275.08/14,324.96
  6. Step 6: Final answer
    x = 11,532.13

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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.