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Finding the Fourth Proportional to 29,686.31, 40,966.19 and 16,257.22

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Solution

The fourth proportional to 29,686.31, 40,966.19 and 16,257.22 is: 22,434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.31 : 40,966.19 = 16,257.22 : x
  2. Step 2: Convert to fraction form
    29,686.31/40,966.19 = 16,257.22/x
  3. Step 3: Cross multiply
    29,686.31x = 40,966.19 × 16,257.22
  4. Step 4: Simplify right side
    29,686.31x = 665,996,240.65
  5. Step 5: Solve for x
    x = 665,996,240.65/29,686.31
  6. Step 6: Final answer
    x = 22,434.46

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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.