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Finding the Fourth Proportional to 13,422.16, 18,524.96 and 10,036.16

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Solution

The fourth proportional to 13,422.16, 18,524.96 and 10,036.16 is: 13,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.16 : 18,524.96 = 10,036.16 : x
  2. Step 2: Convert to fraction form
    13,422.16/18,524.96 = 10,036.16/x
  3. Step 3: Cross multiply
    13,422.16x = 18,524.96 × 10,036.16
  4. Step 4: Simplify right side
    13,422.16x = 185,919,462.55
  5. Step 5: Solve for x
    x = 185,919,462.55/13,422.16
  6. Step 6: Final answer
    x = 13,851.68

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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.