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Finding the Fourth Proportional to 24,357.84, 33,614.76 and 13,747.25

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Solution

The fourth proportional to 24,357.84, 33,614.76 and 13,747.25 is: 18,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.84 : 33,614.76 = 13,747.25 : x
  2. Step 2: Convert to fraction form
    24,357.84/33,614.76 = 13,747.25/x
  3. Step 3: Cross multiply
    24,357.84x = 33,614.76 × 13,747.25
  4. Step 4: Simplify right side
    24,357.84x = 462,110,272.60
  5. Step 5: Solve for x
    x = 462,110,272.60/24,357.84
  6. Step 6: Final answer
    x = 18,971.73

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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.