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Finding the Fourth Proportional to 24,342.67, 36,517.58 and 7,698.93

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Solution

The fourth proportional to 24,342.67, 36,517.58 and 7,698.93 is: 11,549.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.67 : 36,517.58 = 7,698.93 : x
  2. Step 2: Convert to fraction form
    24,342.67/36,517.58 = 7,698.93/x
  3. Step 3: Cross multiply
    24,342.67x = 36,517.58 × 7,698.93
  4. Step 4: Simplify right side
    24,342.67x = 281,146,292.19
  5. Step 5: Solve for x
    x = 281,146,292.19/24,342.67
  6. Step 6: Final answer
    x = 11,549.53

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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.