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Finding the Fourth Proportional to 15,657.76, 23,449.44 and 12,864.96

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Solution

The fourth proportional to 15,657.76, 23,449.44 and 12,864.96 is: 19,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.76 : 23,449.44 = 12,864.96 : x
  2. Step 2: Convert to fraction form
    15,657.76/23,449.44 = 12,864.96/x
  3. Step 3: Cross multiply
    15,657.76x = 23,449.44 × 12,864.96
  4. Step 4: Simplify right side
    15,657.76x = 301,676,107.62
  5. Step 5: Solve for x
    x = 301,676,107.62/15,657.76
  6. Step 6: Final answer
    x = 19,266.88

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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.