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Finding the Fourth Proportional to 13,510.67, 18,643.77 and 7,542.18

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Solution

The fourth proportional to 13,510.67, 18,643.77 and 7,542.18 is: 10,407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.67 : 18,643.77 = 7,542.18 : x
  2. Step 2: Convert to fraction form
    13,510.67/18,643.77 = 7,542.18/x
  3. Step 3: Cross multiply
    13,510.67x = 18,643.77 × 7,542.18
  4. Step 4: Simplify right side
    13,510.67x = 140,614,669.22
  5. Step 5: Solve for x
    x = 140,614,669.22/13,510.67
  6. Step 6: Final answer
    x = 10,407.68

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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.