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Finding the Fourth Proportional to 13,132.50, 18,123.18 and 7,164.72

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Solution

The fourth proportional to 13,132.50, 18,123.18 and 7,164.72 is: 9,887.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.50 : 18,123.18 = 7,164.72 : x
  2. Step 2: Convert to fraction form
    13,132.50/18,123.18 = 7,164.72/x
  3. Step 3: Cross multiply
    13,132.50x = 18,123.18 × 7,164.72
  4. Step 4: Simplify right side
    13,132.50x = 129,847,510.21
  5. Step 5: Solve for x
    x = 129,847,510.21/13,132.50
  6. Step 6: Final answer
    x = 9,887.49

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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.