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Finding the Fourth Proportional to 17,727.78, 24,464.34 and 9,769.98

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Solution

The fourth proportional to 17,727.78, 24,464.34 and 9,769.98 is: 13,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.78 : 24,464.34 = 9,769.98 : x
  2. Step 2: Convert to fraction form
    17,727.78/24,464.34 = 9,769.98/x
  3. Step 3: Cross multiply
    17,727.78x = 24,464.34 × 9,769.98
  4. Step 4: Simplify right side
    17,727.78x = 239,016,112.51
  5. Step 5: Solve for x
    x = 239,016,112.51/17,727.78
  6. Step 6: Final answer
    x = 13,482.57

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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.