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Finding the Fourth Proportional to 24,078.87, 36,122.32 and 8,283.26

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Solution

The fourth proportional to 24,078.87, 36,122.32 and 8,283.26 is: 12,426.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,078.87 : 36,122.32 = 8,283.26 : x
  2. Step 2: Convert to fraction form
    24,078.87/36,122.32 = 8,283.26/x
  3. Step 3: Cross multiply
    24,078.87x = 36,122.32 × 8,283.26
  4. Step 4: Simplify right side
    24,078.87x = 299,210,669.02
  5. Step 5: Solve for x
    x = 299,210,669.02/24,078.87
  6. Step 6: Final answer
    x = 12,426.28

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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.