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Finding the Fourth Proportional to 16,003.15, 22,082.14 and 8,928.20

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Solution

The fourth proportional to 16,003.15, 22,082.14 and 8,928.20 is: 12,319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.15 : 22,082.14 = 8,928.20 : x
  2. Step 2: Convert to fraction form
    16,003.15/22,082.14 = 8,928.20/x
  3. Step 3: Cross multiply
    16,003.15x = 22,082.14 × 8,928.20
  4. Step 4: Simplify right side
    16,003.15x = 197,153,762.35
  5. Step 5: Solve for x
    x = 197,153,762.35/16,003.15
  6. Step 6: Final answer
    x = 12,319.68

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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.