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Finding the Fourth Proportional to 16,478.96, 22,723.92 and 11,448.88

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Solution

The fourth proportional to 16,478.96, 22,723.92 and 11,448.88 is: 15,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.96 : 22,723.92 = 11,448.88 : x
  2. Step 2: Convert to fraction form
    16,478.96/22,723.92 = 11,448.88/x
  3. Step 3: Cross multiply
    16,478.96x = 22,723.92 × 11,448.88
  4. Step 4: Simplify right side
    16,478.96x = 260,163,433.21
  5. Step 5: Solve for x
    x = 260,163,433.21/16,478.96
  6. Step 6: Final answer
    x = 15,787.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.