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Finding the Fourth Proportional to 16,231.64, 22,400.72 and 9,155.48

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Solution

The fourth proportional to 16,231.64, 22,400.72 and 9,155.48 is: 12,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.64 : 22,400.72 = 9,155.48 : x
  2. Step 2: Convert to fraction form
    16,231.64/22,400.72 = 9,155.48/x
  3. Step 3: Cross multiply
    16,231.64x = 22,400.72 × 9,155.48
  4. Step 4: Simplify right side
    16,231.64x = 205,089,343.95
  5. Step 5: Solve for x
    x = 205,089,343.95/16,231.64
  6. Step 6: Final answer
    x = 12,635.16

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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.