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Finding the Fourth Proportional to 26,822.16, 40,187.76 and 16,412.16

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Solution

The fourth proportional to 26,822.16, 40,187.76 and 16,412.16 is: 24,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.16 : 40,187.76 = 16,412.16 : x
  2. Step 2: Convert to fraction form
    26,822.16/40,187.76 = 16,412.16/x
  3. Step 3: Cross multiply
    26,822.16x = 40,187.76 × 16,412.16
  4. Step 4: Simplify right side
    26,822.16x = 659,567,947.16
  5. Step 5: Solve for x
    x = 659,567,947.16/26,822.16
  6. Step 6: Final answer
    x = 24,590.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.