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Finding the Fourth Proportional to 17,667.96, 24,374.80 and 11,384

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Solution

The fourth proportional to 17,667.96, 24,374.80 and 11,384 is: 15,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.96 : 24,374.80 = 11,384 : x
  2. Step 2: Convert to fraction form
    17,667.96/24,374.80 = 11,384/x
  3. Step 3: Cross multiply
    17,667.96x = 24,374.80 × 11,384
  4. Step 4: Simplify right side
    17,667.96x = 277,482,723.20
  5. Step 5: Solve for x
    x = 277,482,723.20/17,667.96
  6. Step 6: Final answer
    x = 15,705.42

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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.