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Finding the Fourth Proportional to 23,818.56, 35,727.84 and 14,642.88

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Solution

The fourth proportional to 23,818.56, 35,727.84 and 14,642.88 is: 21,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.56 : 35,727.84 = 14,642.88 : x
  2. Step 2: Convert to fraction form
    23,818.56/35,727.84 = 14,642.88/x
  3. Step 3: Cross multiply
    23,818.56x = 35,727.84 × 14,642.88
  4. Step 4: Simplify right side
    23,818.56x = 523,158,473.78
  5. Step 5: Solve for x
    x = 523,158,473.78/23,818.56
  6. Step 6: Final answer
    x = 21,964.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.