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Finding the Fourth Proportional to 16,646.76, 22,984.10 and 10,361.96

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Solution

The fourth proportional to 16,646.76, 22,984.10 and 10,361.96 is: 14,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.76 : 22,984.10 = 10,361.96 : x
  2. Step 2: Convert to fraction form
    16,646.76/22,984.10 = 10,361.96/x
  3. Step 3: Cross multiply
    16,646.76x = 22,984.10 × 10,361.96
  4. Step 4: Simplify right side
    16,646.76x = 238,160,324.84
  5. Step 5: Solve for x
    x = 238,160,324.84/16,646.76
  6. Step 6: Final answer
    x = 14,306.71

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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.