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Finding the Fourth Proportional to 23,218.96, 32,042.64 and 14,141.20

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Solution

The fourth proportional to 23,218.96, 32,042.64 and 14,141.20 is: 19,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.96 : 32,042.64 = 14,141.20 : x
  2. Step 2: Convert to fraction form
    23,218.96/32,042.64 = 14,141.20/x
  3. Step 3: Cross multiply
    23,218.96x = 32,042.64 × 14,141.20
  4. Step 4: Simplify right side
    23,218.96x = 453,121,380.77
  5. Step 5: Solve for x
    x = 453,121,380.77/23,218.96
  6. Step 6: Final answer
    x = 19,515.15

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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.