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Finding the Fourth Proportional to 24,379.68, 33,643.88 and 13,769.28

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Solution

The fourth proportional to 24,379.68, 33,643.88 and 13,769.28 is: 19,001.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,379.68 : 33,643.88 = 13,769.28 : x
  2. Step 2: Convert to fraction form
    24,379.68/33,643.88 = 13,769.28/x
  3. Step 3: Cross multiply
    24,379.68x = 33,643.88 × 13,769.28
  4. Step 4: Simplify right side
    24,379.68x = 463,252,004.01
  5. Step 5: Solve for x
    x = 463,252,004.01/24,379.68
  6. Step 6: Final answer
    x = 19,001.56

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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.