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Finding the Fourth Proportional to 16,466.80, 22,724.07 and 8,913.13

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Solution

The fourth proportional to 16,466.80, 22,724.07 and 8,913.13 is: 12,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.80 : 22,724.07 = 8,913.13 : x
  2. Step 2: Convert to fraction form
    16,466.80/22,724.07 = 8,913.13/x
  3. Step 3: Cross multiply
    16,466.80x = 22,724.07 × 8,913.13
  4. Step 4: Simplify right side
    16,466.80x = 202,542,590.04
  5. Step 5: Solve for x
    x = 202,542,590.04/16,466.80
  6. Step 6: Final answer
    x = 12,300.06

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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.