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Finding the Fourth Proportional to 17,667.68, 24,381.46 and 9,710.06

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Solution

The fourth proportional to 17,667.68, 24,381.46 and 9,710.06 is: 13,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.68 : 24,381.46 = 9,710.06 : x
  2. Step 2: Convert to fraction form
    17,667.68/24,381.46 = 9,710.06/x
  3. Step 3: Cross multiply
    17,667.68x = 24,381.46 × 9,710.06
  4. Step 4: Simplify right side
    17,667.68x = 236,745,439.49
  5. Step 5: Solve for x
    x = 236,745,439.49/17,667.68
  6. Step 6: Final answer
    x = 13,399.92

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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.