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Finding the Fourth Proportional to 24,506.60, 36,764.67 and 7,865.35

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Solution

The fourth proportional to 24,506.60, 36,764.67 and 7,865.35 is: 11,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.60 : 36,764.67 = 7,865.35 : x
  2. Step 2: Convert to fraction form
    24,506.60/36,764.67 = 7,865.35/x
  3. Step 3: Cross multiply
    24,506.60x = 36,764.67 × 7,865.35
  4. Step 4: Simplify right side
    24,506.60x = 289,167,097.33
  5. Step 5: Solve for x
    x = 289,167,097.33/24,506.60
  6. Step 6: Final answer
    x = 11,799.56

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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.