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Finding the Fourth Proportional to 24,059.50, 33,202.11 and 13,448.91

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Solution

The fourth proportional to 24,059.50, 33,202.11 and 13,448.91 is: 18,559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059.50 : 33,202.11 = 13,448.91 : x
  2. Step 2: Convert to fraction form
    24,059.50/33,202.11 = 13,448.91/x
  3. Step 3: Cross multiply
    24,059.50x = 33,202.11 × 13,448.91
  4. Step 4: Simplify right side
    24,059.50x = 446,532,189.20
  5. Step 5: Solve for x
    x = 446,532,189.20/24,059.50
  6. Step 6: Final answer
    x = 18,559.50

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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.