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Finding the Fourth Proportional to 12,817.70, 17,687.92 and 7,152.15

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Solution

The fourth proportional to 12,817.70, 17,687.92 and 7,152.15 is: 9,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.70 : 17,687.92 = 7,152.15 : x
  2. Step 2: Convert to fraction form
    12,817.70/17,687.92 = 7,152.15/x
  3. Step 3: Cross multiply
    12,817.70x = 17,687.92 × 7,152.15
  4. Step 4: Simplify right side
    12,817.70x = 126,506,657.03
  5. Step 5: Solve for x
    x = 126,506,657.03/12,817.70
  6. Step 6: Final answer
    x = 9,869.68

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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.