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Finding the Fourth Proportional to 24,507.50, 33,820.62 and 13,329.50

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Solution

The fourth proportional to 24,507.50, 33,820.62 and 13,329.50 is: 18,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.50 : 33,820.62 = 13,329.50 : x
  2. Step 2: Convert to fraction form
    24,507.50/33,820.62 = 13,329.50/x
  3. Step 3: Cross multiply
    24,507.50x = 33,820.62 × 13,329.50
  4. Step 4: Simplify right side
    24,507.50x = 450,811,954.29
  5. Step 5: Solve for x
    x = 450,811,954.29/24,507.50
  6. Step 6: Final answer
    x = 18,394.86

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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.