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Finding the Fourth Proportional to 17,667.29, 24,378.09 and 10,111.88

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Solution

The fourth proportional to 17,667.29, 24,378.09 and 10,111.88 is: 13,952.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.29 : 24,378.09 = 10,111.88 : x
  2. Step 2: Convert to fraction form
    17,667.29/24,378.09 = 10,111.88/x
  3. Step 3: Cross multiply
    17,667.29x = 24,378.09 × 10,111.88
  4. Step 4: Simplify right side
    17,667.29x = 246,508,320.71
  5. Step 5: Solve for x
    x = 246,508,320.71/17,667.29
  6. Step 6: Final answer
    x = 13,952.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.