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Finding the Fourth Proportional to 28,234.76, 42,357.81 and 9,514.04

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Solution

The fourth proportional to 28,234.76, 42,357.81 and 9,514.04 is: 14,272.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,234.76 : 42,357.81 = 9,514.04 : x
  2. Step 2: Convert to fraction form
    28,234.76/42,357.81 = 9,514.04/x
  3. Step 3: Cross multiply
    28,234.76x = 42,357.81 × 9,514.04
  4. Step 4: Simplify right side
    28,234.76x = 402,993,898.65
  5. Step 5: Solve for x
    x = 402,993,898.65/28,234.76
  6. Step 6: Final answer
    x = 14,272.97

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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.