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Finding the Fourth Proportional to 13,242.14, 18,269.06 and 7,575.74

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Solution

The fourth proportional to 13,242.14, 18,269.06 and 7,575.74 is: 10,451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.14 : 18,269.06 = 7,575.74 : x
  2. Step 2: Convert to fraction form
    13,242.14/18,269.06 = 7,575.74/x
  3. Step 3: Cross multiply
    13,242.14x = 18,269.06 × 7,575.74
  4. Step 4: Simplify right side
    13,242.14x = 138,401,648.60
  5. Step 5: Solve for x
    x = 138,401,648.60/13,242.14
  6. Step 6: Final answer
    x = 10,451.61

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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.