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Finding the Fourth Proportional to 24,342.84, 33,593.22 and 13,164.84

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Solution

The fourth proportional to 24,342.84, 33,593.22 and 13,164.84 is: 18,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.84 : 33,593.22 = 13,164.84 : x
  2. Step 2: Convert to fraction form
    24,342.84/33,593.22 = 13,164.84/x
  3. Step 3: Cross multiply
    24,342.84x = 33,593.22 × 13,164.84
  4. Step 4: Simplify right side
    24,342.84x = 442,249,216.58
  5. Step 5: Solve for x
    x = 442,249,216.58/24,342.84
  6. Step 6: Final answer
    x = 18,167.53

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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.