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Finding the Fourth Proportional to 16,099.98, 22,218.03 and 8,930.40

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Solution

The fourth proportional to 16,099.98, 22,218.03 and 8,930.40 is: 12,323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.98 : 22,218.03 = 8,930.40 : x
  2. Step 2: Convert to fraction form
    16,099.98/22,218.03 = 8,930.40/x
  3. Step 3: Cross multiply
    16,099.98x = 22,218.03 × 8,930.40
  4. Step 4: Simplify right side
    16,099.98x = 198,415,895.11
  5. Step 5: Solve for x
    x = 198,415,895.11/16,099.98
  6. Step 6: Final answer
    x = 12,323.98

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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.