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Finding the Fourth Proportional to 24,361.40, 33,642.06 and 16,002.20

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Solution

The fourth proportional to 24,361.40, 33,642.06 and 16,002.20 is: 22,098.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,361.40 : 33,642.06 = 16,002.20 : x
  2. Step 2: Convert to fraction form
    24,361.40/33,642.06 = 16,002.20/x
  3. Step 3: Cross multiply
    24,361.40x = 33,642.06 × 16,002.20
  4. Step 4: Simplify right side
    24,361.40x = 538,346,972.53
  5. Step 5: Solve for x
    x = 538,346,972.53/24,361.40
  6. Step 6: Final answer
    x = 22,098.36

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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.