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Finding the Fourth Proportional to 16,641.44, 24,971.76 and 9,245.28

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Solution

The fourth proportional to 16,641.44, 24,971.76 and 9,245.28 is: 13,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.44 : 24,971.76 = 9,245.28 : x
  2. Step 2: Convert to fraction form
    16,641.44/24,971.76 = 9,245.28/x
  3. Step 3: Cross multiply
    16,641.44x = 24,971.76 × 9,245.28
  4. Step 4: Simplify right side
    16,641.44x = 230,870,913.29
  5. Step 5: Solve for x
    x = 230,870,913.29/16,641.44
  6. Step 6: Final answer
    x = 13,873.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.