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Finding the Fourth Proportional to 13,542.57, 18,688.98 and 7,573.59

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Solution

The fourth proportional to 13,542.57, 18,688.98 and 7,573.59 is: 10,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.57 : 18,688.98 = 7,573.59 : x
  2. Step 2: Convert to fraction form
    13,542.57/18,688.98 = 7,573.59/x
  3. Step 3: Cross multiply
    13,542.57x = 18,688.98 × 7,573.59
  4. Step 4: Simplify right side
    13,542.57x = 141,542,672.04
  5. Step 5: Solve for x
    x = 141,542,672.04/13,542.57
  6. Step 6: Final answer
    x = 10,451.68

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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.