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Finding the Fourth Proportional to 17,789.68, 24,549.12 and 10,714.72

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Solution

The fourth proportional to 17,789.68, 24,549.12 and 10,714.72 is: 14,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,789.68 : 24,549.12 = 10,714.72 : x
  2. Step 2: Convert to fraction form
    17,789.68/24,549.12 = 10,714.72/x
  3. Step 3: Cross multiply
    17,789.68x = 24,549.12 × 10,714.72
  4. Step 4: Simplify right side
    17,789.68x = 263,036,947.05
  5. Step 5: Solve for x
    x = 263,036,947.05/17,789.68
  6. Step 6: Final answer
    x = 14,785.93

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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.