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Finding the Fourth Proportional to 16,811.12, 23,199.12 and 9,359.12

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Solution

The fourth proportional to 16,811.12, 23,199.12 and 9,359.12 is: 12,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.12 : 23,199.12 = 9,359.12 : x
  2. Step 2: Convert to fraction form
    16,811.12/23,199.12 = 9,359.12/x
  3. Step 3: Cross multiply
    16,811.12x = 23,199.12 × 9,359.12
  4. Step 4: Simplify right side
    16,811.12x = 217,123,347.97
  5. Step 5: Solve for x
    x = 217,123,347.97/16,811.12
  6. Step 6: Final answer
    x = 12,915.46

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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.