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Finding the Fourth Proportional to 24,704.16, 37,056.24 and 8,299.68

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Solution

The fourth proportional to 24,704.16, 37,056.24 and 8,299.68 is: 12,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704.16 : 37,056.24 = 8,299.68 : x
  2. Step 2: Convert to fraction form
    24,704.16/37,056.24 = 8,299.68/x
  3. Step 3: Cross multiply
    24,704.16x = 37,056.24 × 8,299.68
  4. Step 4: Simplify right side
    24,704.16x = 307,554,934.00
  5. Step 5: Solve for x
    x = 307,554,934.00/24,704.16
  6. Step 6: Final answer
    x = 12,449.52

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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.