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Finding the Fourth Proportional to 22,961.52, 34,409.88 and 9,809.28

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Solution

The fourth proportional to 22,961.52, 34,409.88 and 9,809.28 is: 14,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.52 : 34,409.88 = 9,809.28 : x
  2. Step 2: Convert to fraction form
    22,961.52/34,409.88 = 9,809.28/x
  3. Step 3: Cross multiply
    22,961.52x = 34,409.88 × 9,809.28
  4. Step 4: Simplify right side
    22,961.52x = 337,536,147.69
  5. Step 5: Solve for x
    x = 337,536,147.69/22,961.52
  6. Step 6: Final answer
    x = 14,700.08

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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.