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Finding the Fourth Proportional to 16,497.32, 22,766.74 and 9,327.49

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Solution

The fourth proportional to 16,497.32, 22,766.74 and 9,327.49 is: 12,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.32 : 22,766.74 = 9,327.49 : x
  2. Step 2: Convert to fraction form
    16,497.32/22,766.74 = 9,327.49/x
  3. Step 3: Cross multiply
    16,497.32x = 22,766.74 × 9,327.49
  4. Step 4: Simplify right side
    16,497.32x = 212,356,459.45
  5. Step 5: Solve for x
    x = 212,356,459.45/16,497.32
  6. Step 6: Final answer
    x = 12,872.18

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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.