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Finding the Fourth Proportional to 12,802.43, 17,656.31 and 8,324.55

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Solution

The fourth proportional to 12,802.43, 17,656.31 and 8,324.55 is: 11,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.43 : 17,656.31 = 8,324.55 : x
  2. Step 2: Convert to fraction form
    12,802.43/17,656.31 = 8,324.55/x
  3. Step 3: Cross multiply
    12,802.43x = 17,656.31 × 8,324.55
  4. Step 4: Simplify right side
    12,802.43x = 146,980,856.22
  5. Step 5: Solve for x
    x = 146,980,856.22/12,802.43
  6. Step 6: Final answer
    x = 11,480.70

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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.