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Finding the Fourth Proportional to 28,864, 39,832.32 and 16,288.48

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Solution

The fourth proportional to 28,864, 39,832.32 and 16,288.48 is: 22,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,864 : 39,832.32 = 16,288.48 : x
  2. Step 2: Convert to fraction form
    28,864/39,832.32 = 16,288.48/x
  3. Step 3: Cross multiply
    28,864x = 39,832.32 × 16,288.48
  4. Step 4: Simplify right side
    28,864x = 648,807,947.67
  5. Step 5: Solve for x
    x = 648,807,947.67/28,864
  6. Step 6: Final answer
    x = 22,478.10

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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.