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Finding the Fourth Proportional to 16,275.64, 22,452.14 and 10,297.24

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Solution

The fourth proportional to 16,275.64, 22,452.14 and 10,297.24 is: 14,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.64 : 22,452.14 = 10,297.24 : x
  2. Step 2: Convert to fraction form
    16,275.64/22,452.14 = 10,297.24/x
  3. Step 3: Cross multiply
    16,275.64x = 22,452.14 × 10,297.24
  4. Step 4: Simplify right side
    16,275.64x = 231,195,074.09
  5. Step 5: Solve for x
    x = 231,195,074.09/16,275.64
  6. Step 6: Final answer
    x = 14,204.98

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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.