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Finding the Fourth Proportional to 24,309.44, 33,547.02 and 13,131.44

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Solution

The fourth proportional to 24,309.44, 33,547.02 and 13,131.44 is: 18,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,309.44 : 33,547.02 = 13,131.44 : x
  2. Step 2: Convert to fraction form
    24,309.44/33,547.02 = 13,131.44/x
  3. Step 3: Cross multiply
    24,309.44x = 33,547.02 × 13,131.44
  4. Step 4: Simplify right side
    24,309.44x = 440,520,680.31
  5. Step 5: Solve for x
    x = 440,520,680.31/24,309.44
  6. Step 6: Final answer
    x = 18,121.38

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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.