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Finding the Fourth Proportional to 23,197.64, 32,010.58 and 13,127

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Solution

The fourth proportional to 23,197.64, 32,010.58 and 13,127 is: 18,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.64 : 32,010.58 = 13,127 : x
  2. Step 2: Convert to fraction form
    23,197.64/32,010.58 = 13,127/x
  3. Step 3: Cross multiply
    23,197.64x = 32,010.58 × 13,127
  4. Step 4: Simplify right side
    23,197.64x = 420,202,883.66
  5. Step 5: Solve for x
    x = 420,202,883.66/23,197.64
  6. Step 6: Final answer
    x = 18,114.04

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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.