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Finding the Fourth Proportional to 29,698.42, 40,982.06 and 16,267

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Solution

The fourth proportional to 29,698.42, 40,982.06 and 16,267 is: 22,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.42 : 40,982.06 = 16,267 : x
  2. Step 2: Convert to fraction form
    29,698.42/40,982.06 = 16,267/x
  3. Step 3: Cross multiply
    29,698.42x = 40,982.06 × 16,267
  4. Step 4: Simplify right side
    29,698.42x = 666,655,170.02
  5. Step 5: Solve for x
    x = 666,655,170.02/29,698.42
  6. Step 6: Final answer
    x = 22,447.50

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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.