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Finding the Fourth Proportional to 16,073.84, 22,182.72 and 8,999.84

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Solution

The fourth proportional to 16,073.84, 22,182.72 and 8,999.84 is: 12,420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.84 : 22,182.72 = 8,999.84 : x
  2. Step 2: Convert to fraction form
    16,073.84/22,182.72 = 8,999.84/x
  3. Step 3: Cross multiply
    16,073.84x = 22,182.72 × 8,999.84
  4. Step 4: Simplify right side
    16,073.84x = 199,640,930.76
  5. Step 5: Solve for x
    x = 199,640,930.76/16,073.84
  6. Step 6: Final answer
    x = 12,420.24

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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.