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Finding the Fourth Proportional to 16,175.32, 22,308.06 and 11,147.68

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Solution

The fourth proportional to 16,175.32, 22,308.06 and 11,147.68 is: 15,374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.32 : 22,308.06 = 11,147.68 : x
  2. Step 2: Convert to fraction form
    16,175.32/22,308.06 = 11,147.68/x
  3. Step 3: Cross multiply
    16,175.32x = 22,308.06 × 11,147.68
  4. Step 4: Simplify right side
    16,175.32x = 248,683,114.30
  5. Step 5: Solve for x
    x = 248,683,114.30/16,175.32
  6. Step 6: Final answer
    x = 15,374.23

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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.