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Finding the Fourth Proportional to 12,140.57, 16,756.13 and 11,586.53

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Solution

The fourth proportional to 12,140.57, 16,756.13 and 11,586.53 is: 15,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.57 : 16,756.13 = 11,586.53 : x
  2. Step 2: Convert to fraction form
    12,140.57/16,756.13 = 11,586.53/x
  3. Step 3: Cross multiply
    12,140.57x = 16,756.13 × 11,586.53
  4. Step 4: Simplify right side
    12,140.57x = 194,145,402.93
  5. Step 5: Solve for x
    x = 194,145,402.93/12,140.57
  6. Step 6: Final answer
    x = 15,991.46

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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.