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Finding the Fourth Proportional to 13,428.18, 18,526.32 and 7,761.42

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Solution

The fourth proportional to 13,428.18, 18,526.32 and 7,761.42 is: 10,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.18 : 18,526.32 = 7,761.42 : x
  2. Step 2: Convert to fraction form
    13,428.18/18,526.32 = 7,761.42/x
  3. Step 3: Cross multiply
    13,428.18x = 18,526.32 × 7,761.42
  4. Step 4: Simplify right side
    13,428.18x = 143,790,550.57
  5. Step 5: Solve for x
    x = 143,790,550.57/13,428.18
  6. Step 6: Final answer
    x = 10,708.12

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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.