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Finding the Fourth Proportional to 13,542.94, 18,690.22 and 7,575.18

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Solution

The fourth proportional to 13,542.94, 18,690.22 and 7,575.18 is: 10,454.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,542.94 : 18,690.22 = 7,575.18 : x
  2. Step 2: Convert to fraction form
    13,542.94/18,690.22 = 7,575.18/x
  3. Step 3: Cross multiply
    13,542.94x = 18,690.22 × 7,575.18
  4. Step 4: Simplify right side
    13,542.94x = 141,581,780.74
  5. Step 5: Solve for x
    x = 141,581,780.74/13,542.94
  6. Step 6: Final answer
    x = 10,454.29

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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.