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Finding the Fourth Proportional to 22,447.80, 33,657.30 and 9,305.40

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Solution

The fourth proportional to 22,447.80, 33,657.30 and 9,305.40 is: 13,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.80 : 33,657.30 = 9,305.40 : x
  2. Step 2: Convert to fraction form
    22,447.80/33,657.30 = 9,305.40/x
  3. Step 3: Cross multiply
    22,447.80x = 33,657.30 × 9,305.40
  4. Step 4: Simplify right side
    22,447.80x = 313,194,639.42
  5. Step 5: Solve for x
    x = 313,194,639.42/22,447.80
  6. Step 6: Final answer
    x = 13,952.13

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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.