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Finding the Fourth Proportional to 26,686.97, 36,828.02 and 16,078.80

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Solution

The fourth proportional to 26,686.97, 36,828.02 and 16,078.80 is: 22,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,686.97 : 36,828.02 = 16,078.80 : x
  2. Step 2: Convert to fraction form
    26,686.97/36,828.02 = 16,078.80/x
  3. Step 3: Cross multiply
    26,686.97x = 36,828.02 × 16,078.80
  4. Step 4: Simplify right side
    26,686.97x = 592,150,455.83
  5. Step 5: Solve for x
    x = 592,150,455.83/26,686.97
  6. Step 6: Final answer
    x = 22,188.75

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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.