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Finding the Fourth Proportional to 13,242.35, 18,275.71 and 7,575.97

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Solution

The fourth proportional to 13,242.35, 18,275.71 and 7,575.97 is: 10,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.35 : 18,275.71 = 7,575.97 : x
  2. Step 2: Convert to fraction form
    13,242.35/18,275.71 = 7,575.97/x
  3. Step 3: Cross multiply
    13,242.35x = 18,275.71 × 7,575.97
  4. Step 4: Simplify right side
    13,242.35x = 138,456,166.06
  5. Step 5: Solve for x
    x = 138,456,166.06/13,242.35
  6. Step 6: Final answer
    x = 10,455.56

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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.