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Finding the Fourth Proportional to 16,449.28, 22,698.62 and 9,278.80

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Solution

The fourth proportional to 16,449.28, 22,698.62 and 9,278.80 is: 12,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.28 : 22,698.62 = 9,278.80 : x
  2. Step 2: Convert to fraction form
    16,449.28/22,698.62 = 9,278.80/x
  3. Step 3: Cross multiply
    16,449.28x = 22,698.62 × 9,278.80
  4. Step 4: Simplify right side
    16,449.28x = 210,615,908.86
  5. Step 5: Solve for x
    x = 210,615,908.86/16,449.28
  6. Step 6: Final answer
    x = 12,803.96

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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.