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Finding the Fourth Proportional to 12,872.56, 17,766.68 and 8,153.52

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Solution

The fourth proportional to 12,872.56, 17,766.68 and 8,153.52 is: 11,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.56 : 17,766.68 = 8,153.52 : x
  2. Step 2: Convert to fraction form
    12,872.56/17,766.68 = 8,153.52/x
  3. Step 3: Cross multiply
    12,872.56x = 17,766.68 × 8,153.52
  4. Step 4: Simplify right side
    12,872.56x = 144,860,980.71
  5. Step 5: Solve for x
    x = 144,860,980.71/12,872.56
  6. Step 6: Final answer
    x = 11,253.47

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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.