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Finding the Fourth Proportional to 23,873.64, 32,945.62 and 13,264.24

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Solution

The fourth proportional to 23,873.64, 32,945.62 and 13,264.24 is: 18,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.64 : 32,945.62 = 13,264.24 : x
  2. Step 2: Convert to fraction form
    23,873.64/32,945.62 = 13,264.24/x
  3. Step 3: Cross multiply
    23,873.64x = 32,945.62 × 13,264.24
  4. Step 4: Simplify right side
    23,873.64x = 436,998,610.63
  5. Step 5: Solve for x
    x = 436,998,610.63/23,873.64
  6. Step 6: Final answer
    x = 18,304.65

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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.