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Finding the Fourth Proportional to 12,594.72, 18,856.44 and 10,469.28

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Solution

The fourth proportional to 12,594.72, 18,856.44 and 10,469.28 is: 15,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.72 : 18,856.44 = 10,469.28 : x
  2. Step 2: Convert to fraction form
    12,594.72/18,856.44 = 10,469.28/x
  3. Step 3: Cross multiply
    12,594.72x = 18,856.44 × 10,469.28
  4. Step 4: Simplify right side
    12,594.72x = 197,413,350.16
  5. Step 5: Solve for x
    x = 197,413,350.16/12,594.72
  6. Step 6: Final answer
    x = 15,674.29

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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.