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Finding the Fourth Proportional to 24,376.78, 36,540.55 and 9,596.07

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Solution

The fourth proportional to 24,376.78, 36,540.55 and 9,596.07 is: 14,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.78 : 36,540.55 = 9,596.07 : x
  2. Step 2: Convert to fraction form
    24,376.78/36,540.55 = 9,596.07/x
  3. Step 3: Cross multiply
    24,376.78x = 36,540.55 × 9,596.07
  4. Step 4: Simplify right side
    24,376.78x = 350,645,687.63
  5. Step 5: Solve for x
    x = 350,645,687.63/24,376.78
  6. Step 6: Final answer
    x = 14,384.41

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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.