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Finding the Fourth Proportional to 16,411.20, 22,647.45 and 8,959.20

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Solution

The fourth proportional to 16,411.20, 22,647.45 and 8,959.20 is: 12,363.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.20 : 22,647.45 = 8,959.20 : x
  2. Step 2: Convert to fraction form
    16,411.20/22,647.45 = 8,959.20/x
  3. Step 3: Cross multiply
    16,411.20x = 22,647.45 × 8,959.20
  4. Step 4: Simplify right side
    16,411.20x = 202,903,034.04
  5. Step 5: Solve for x
    x = 202,903,034.04/16,411.20
  6. Step 6: Final answer
    x = 12,363.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.