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Finding the Fourth Proportional to 16,284, 24,426.24 and 5,340

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Solution

The fourth proportional to 16,284, 24,426.24 and 5,340 is: 8,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284 : 24,426.24 = 5,340 : x
  2. Step 2: Convert to fraction form
    16,284/24,426.24 = 5,340/x
  3. Step 3: Cross multiply
    16,284x = 24,426.24 × 5,340
  4. Step 4: Simplify right side
    16,284x = 130,436,121.60
  5. Step 5: Solve for x
    x = 130,436,121.60/16,284
  6. Step 6: Final answer
    x = 8,010.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.