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Finding the Fourth Proportional to 24,598.32, 36,902.18 and 7,960.71

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Solution

The fourth proportional to 24,598.32, 36,902.18 and 7,960.71 is: 11,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.32 : 36,902.18 = 7,960.71 : x
  2. Step 2: Convert to fraction form
    24,598.32/36,902.18 = 7,960.71/x
  3. Step 3: Cross multiply
    24,598.32x = 36,902.18 × 7,960.71
  4. Step 4: Simplify right side
    24,598.32x = 293,767,711.63
  5. Step 5: Solve for x
    x = 293,767,711.63/24,598.32
  6. Step 6: Final answer
    x = 11,942.59

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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.