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Finding the Fourth Proportional to 17,967.66, 24,796.13 and 10,009.88

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Solution

The fourth proportional to 17,967.66, 24,796.13 and 10,009.88 is: 13,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.66 : 24,796.13 = 10,009.88 : x
  2. Step 2: Convert to fraction form
    17,967.66/24,796.13 = 10,009.88/x
  3. Step 3: Cross multiply
    17,967.66x = 24,796.13 × 10,009.88
  4. Step 4: Simplify right side
    17,967.66x = 248,206,111.73
  5. Step 5: Solve for x
    x = 248,206,111.73/17,967.66
  6. Step 6: Final answer
    x = 13,814.05

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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.