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Finding the Fourth Proportional to 24,458.75, 36,667.40 and 9,678.09

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Solution

The fourth proportional to 24,458.75, 36,667.40 and 9,678.09 is: 14,508.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.75 : 36,667.40 = 9,678.09 : x
  2. Step 2: Convert to fraction form
    24,458.75/36,667.40 = 9,678.09/x
  3. Step 3: Cross multiply
    24,458.75x = 36,667.40 × 9,678.09
  4. Step 4: Simplify right side
    24,458.75x = 354,870,348.88
  5. Step 5: Solve for x
    x = 354,870,348.88/24,458.75
  6. Step 6: Final answer
    x = 14,508.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.