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Finding the Fourth Proportional to 16,000.77, 22,081.14 and 8,927.49

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Solution

The fourth proportional to 16,000.77, 22,081.14 and 8,927.49 is: 12,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.77 : 22,081.14 = 8,927.49 : x
  2. Step 2: Convert to fraction form
    16,000.77/22,081.14 = 8,927.49/x
  3. Step 3: Cross multiply
    16,000.77x = 22,081.14 × 8,927.49
  4. Step 4: Simplify right side
    16,000.77x = 197,129,156.54
  5. Step 5: Solve for x
    x = 197,129,156.54/16,000.77
  6. Step 6: Final answer
    x = 12,319.98

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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.