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Finding the Fourth Proportional to 22,677.37, 34,019.12 and 7,884.37

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Solution

The fourth proportional to 22,677.37, 34,019.12 and 7,884.37 is: 11,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,677.37 : 34,019.12 = 7,884.37 : x
  2. Step 2: Convert to fraction form
    22,677.37/34,019.12 = 7,884.37/x
  3. Step 3: Cross multiply
    22,677.37x = 34,019.12 × 7,884.37
  4. Step 4: Simplify right side
    22,677.37x = 268,219,391.39
  5. Step 5: Solve for x
    x = 268,219,391.39/22,677.37
  6. Step 6: Final answer
    x = 11,827.62

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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.