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Finding the Fourth Proportional to 16,865.00, 23,273.08 and 9,311.17

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Solution

The fourth proportional to 16,865.00, 23,273.08 and 9,311.17 is: 12,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.00 : 23,273.08 = 9,311.17 : x
  2. Step 2: Convert to fraction form
    16,865.00/23,273.08 = 9,311.17/x
  3. Step 3: Cross multiply
    16,865.00x = 23,273.08 × 9,311.17
  4. Step 4: Simplify right side
    16,865.00x = 216,699,441.38
  5. Step 5: Solve for x
    x = 216,699,441.38/16,865.00
  6. Step 6: Final answer
    x = 12,849.07

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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.