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Finding the Fourth Proportional to 22,933.14, 34,392.48 and 8,892.20

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Solution

The fourth proportional to 22,933.14, 34,392.48 and 8,892.20 is: 13,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,933.14 : 34,392.48 = 8,892.20 : x
  2. Step 2: Convert to fraction form
    22,933.14/34,392.48 = 8,892.20/x
  3. Step 3: Cross multiply
    22,933.14x = 34,392.48 × 8,892.20
  4. Step 4: Simplify right side
    22,933.14x = 305,824,810.66
  5. Step 5: Solve for x
    x = 305,824,810.66/22,933.14
  6. Step 6: Final answer
    x = 13,335.50

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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.