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Finding the Fourth Proportional to 16,769.66, 23,138.07 and 9,317.66

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Solution

The fourth proportional to 16,769.66, 23,138.07 and 9,317.66 is: 12,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,769.66 : 23,138.07 = 9,317.66 : x
  2. Step 2: Convert to fraction form
    16,769.66/23,138.07 = 9,317.66/x
  3. Step 3: Cross multiply
    16,769.66x = 23,138.07 × 9,317.66
  4. Step 4: Simplify right side
    16,769.66x = 215,592,669.32
  5. Step 5: Solve for x
    x = 215,592,669.32/16,769.66
  6. Step 6: Final answer
    x = 12,856.11

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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.