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Finding the Fourth Proportional to 22,405.87, 33,597.84 and 13,049.15

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Solution

The fourth proportional to 22,405.87, 33,597.84 and 13,049.15 is: 19,567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.87 : 33,597.84 = 13,049.15 : x
  2. Step 2: Convert to fraction form
    22,405.87/33,597.84 = 13,049.15/x
  3. Step 3: Cross multiply
    22,405.87x = 33,597.84 × 13,049.15
  4. Step 4: Simplify right side
    22,405.87x = 438,423,250.37
  5. Step 5: Solve for x
    x = 438,423,250.37/22,405.87
  6. Step 6: Final answer
    x = 19,567.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.