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Finding the Fourth Proportional to 12,869.96, 17,763.98 and 7,568.30

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Solution

The fourth proportional to 12,869.96, 17,763.98 and 7,568.30 is: 10,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.96 : 17,763.98 = 7,568.30 : x
  2. Step 2: Convert to fraction form
    12,869.96/17,763.98 = 7,568.30/x
  3. Step 3: Cross multiply
    12,869.96x = 17,763.98 × 7,568.30
  4. Step 4: Simplify right side
    12,869.96x = 134,443,136.40
  5. Step 5: Solve for x
    x = 134,443,136.40/12,869.96
  6. Step 6: Final answer
    x = 10,446.28

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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.