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Finding the Fourth Proportional to 24,928.70, 37,384.96 and 8,284.26

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Solution

The fourth proportional to 24,928.70, 37,384.96 and 8,284.26 is: 12,423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,928.70 : 37,384.96 = 8,284.26 : x
  2. Step 2: Convert to fraction form
    24,928.70/37,384.96 = 8,284.26/x
  3. Step 3: Cross multiply
    24,928.70x = 37,384.96 × 8,284.26
  4. Step 4: Simplify right side
    24,928.70x = 309,706,728.73
  5. Step 5: Solve for x
    x = 309,706,728.73/24,928.70
  6. Step 6: Final answer
    x = 12,423.70

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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.