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Finding the Fourth Proportional to 22,909.77, 34,362.49 and 7,323.21

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Solution

The fourth proportional to 22,909.77, 34,362.49 and 7,323.21 is: 10,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,909.77 : 34,362.49 = 7,323.21 : x
  2. Step 2: Convert to fraction form
    22,909.77/34,362.49 = 7,323.21/x
  3. Step 3: Cross multiply
    22,909.77x = 34,362.49 × 7,323.21
  4. Step 4: Simplify right side
    22,909.77x = 251,643,730.39
  5. Step 5: Solve for x
    x = 251,643,730.39/22,909.77
  6. Step 6: Final answer
    x = 10,984.12

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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.