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Finding the Fourth Proportional to 24,481.80, 33,784.32 and 14,918.16

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Solution

The fourth proportional to 24,481.80, 33,784.32 and 14,918.16 is: 20,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,481.80 : 33,784.32 = 14,918.16 : x
  2. Step 2: Convert to fraction form
    24,481.80/33,784.32 = 14,918.16/x
  3. Step 3: Cross multiply
    24,481.80x = 33,784.32 × 14,918.16
  4. Step 4: Simplify right side
    24,481.80x = 503,999,891.25
  5. Step 5: Solve for x
    x = 503,999,891.25/24,481.80
  6. Step 6: Final answer
    x = 20,586.72

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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.