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Finding the Fourth Proportional to 13,123.80, 18,110.22 and 7,458.40

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Solution

The fourth proportional to 13,123.80, 18,110.22 and 7,458.40 is: 10,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,123.80 : 18,110.22 = 7,458.40 : x
  2. Step 2: Convert to fraction form
    13,123.80/18,110.22 = 7,458.40/x
  3. Step 3: Cross multiply
    13,123.80x = 18,110.22 × 7,458.40
  4. Step 4: Simplify right side
    13,123.80x = 135,073,264.85
  5. Step 5: Solve for x
    x = 135,073,264.85/13,123.80
  6. Step 6: Final answer
    x = 10,292.24

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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.