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Finding the Fourth Proportional to 24,049, 33,187.52 and 13,438.63

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Solution

The fourth proportional to 24,049, 33,187.52 and 13,438.63 is: 18,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,049 : 33,187.52 = 13,438.63 : x
  2. Step 2: Convert to fraction form
    24,049/33,187.52 = 13,438.63/x
  3. Step 3: Cross multiply
    24,049x = 33,187.52 × 13,438.63
  4. Step 4: Simplify right side
    24,049x = 445,994,801.90
  5. Step 5: Solve for x
    x = 445,994,801.90/24,049
  6. Step 6: Final answer
    x = 18,545.25

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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.