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Finding the Fourth Proportional to 23,685.96, 32,680.78 and 14,485.20

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Solution

The fourth proportional to 23,685.96, 32,680.78 and 14,485.20 is: 19,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.96 : 32,680.78 = 14,485.20 : x
  2. Step 2: Convert to fraction form
    23,685.96/32,680.78 = 14,485.20/x
  3. Step 3: Cross multiply
    23,685.96x = 32,680.78 × 14,485.20
  4. Step 4: Simplify right side
    23,685.96x = 473,387,634.46
  5. Step 5: Solve for x
    x = 473,387,634.46/23,685.96
  6. Step 6: Final answer
    x = 19,986.00

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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.