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Finding the Fourth Proportional to 23,640.96, 32,614.08 and 15,684.48

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Solution

The fourth proportional to 23,640.96, 32,614.08 and 15,684.48 is: 21,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,640.96 : 32,614.08 = 15,684.48 : x
  2. Step 2: Convert to fraction form
    23,640.96/32,614.08 = 15,684.48/x
  3. Step 3: Cross multiply
    23,640.96x = 32,614.08 × 15,684.48
  4. Step 4: Simplify right side
    23,640.96x = 511,534,885.48
  5. Step 5: Solve for x
    x = 511,534,885.48/23,640.96
  6. Step 6: Final answer
    x = 21,637.65

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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.