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Finding the Fourth Proportional to 13,164.06, 18,164.61 and 7,575.06

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Solution

The fourth proportional to 13,164.06, 18,164.61 and 7,575.06 is: 10,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.06 : 18,164.61 = 7,575.06 : x
  2. Step 2: Convert to fraction form
    13,164.06/18,164.61 = 7,575.06/x
  3. Step 3: Cross multiply
    13,164.06x = 18,164.61 × 7,575.06
  4. Step 4: Simplify right side
    13,164.06x = 137,598,010.63
  5. Step 5: Solve for x
    x = 137,598,010.63/13,164.06
  6. Step 6: Final answer
    x = 10,452.55

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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.