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Finding the Fourth Proportional to 29,686.38, 40,967 and 16,257.38

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Solution

The fourth proportional to 29,686.38, 40,967 and 16,257.38 is: 22,435.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.38 : 40,967 = 16,257.38 : x
  2. Step 2: Convert to fraction form
    29,686.38/40,967 = 16,257.38/x
  3. Step 3: Cross multiply
    29,686.38x = 40,967 × 16,257.38
  4. Step 4: Simplify right side
    29,686.38x = 666,016,086.46
  5. Step 5: Solve for x
    x = 666,016,086.46/29,686.38
  6. Step 6: Final answer
    x = 22,435.07

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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.