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Finding the Fourth Proportional to 28,287.72, 42,431.10 and 9,563.76

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Solution

The fourth proportional to 28,287.72, 42,431.10 and 9,563.76 is: 14,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,287.72 : 42,431.10 = 9,563.76 : x
  2. Step 2: Convert to fraction form
    28,287.72/42,431.10 = 9,563.76/x
  3. Step 3: Cross multiply
    28,287.72x = 42,431.10 × 9,563.76
  4. Step 4: Simplify right side
    28,287.72x = 405,800,856.94
  5. Step 5: Solve for x
    x = 405,800,856.94/28,287.72
  6. Step 6: Final answer
    x = 14,345.48

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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.