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Finding the Fourth Proportional to 12,802.50, 17,672.31 and 8,613.18

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Solution

The fourth proportional to 12,802.50, 17,672.31 and 8,613.18 is: 11,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.50 : 17,672.31 = 8,613.18 : x
  2. Step 2: Convert to fraction form
    12,802.50/17,672.31 = 8,613.18/x
  3. Step 3: Cross multiply
    12,802.50x = 17,672.31 × 8,613.18
  4. Step 4: Simplify right side
    12,802.50x = 152,214,787.05
  5. Step 5: Solve for x
    x = 152,214,787.05/12,802.50
  6. Step 6: Final answer
    x = 11,889.46

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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.