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Finding the Fourth Proportional to 23,251.74, 32,087.31 and 12,641.40

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Solution

The fourth proportional to 23,251.74, 32,087.31 and 12,641.40 is: 17,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,251.74 : 32,087.31 = 12,641.40 : x
  2. Step 2: Convert to fraction form
    23,251.74/32,087.31 = 12,641.40/x
  3. Step 3: Cross multiply
    23,251.74x = 32,087.31 × 12,641.40
  4. Step 4: Simplify right side
    23,251.74x = 405,628,520.63
  5. Step 5: Solve for x
    x = 405,628,520.63/23,251.74
  6. Step 6: Final answer
    x = 17,445.08

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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.