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Finding the Fourth Proportional to 22,894.12, 34,342.38 and 7,310.50

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Solution

The fourth proportional to 22,894.12, 34,342.38 and 7,310.50 is: 10,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.12 : 34,342.38 = 7,310.50 : x
  2. Step 2: Convert to fraction form
    22,894.12/34,342.38 = 7,310.50/x
  3. Step 3: Cross multiply
    22,894.12x = 34,342.38 × 7,310.50
  4. Step 4: Simplify right side
    22,894.12x = 251,059,968.99
  5. Step 5: Solve for x
    x = 251,059,968.99/22,894.12
  6. Step 6: Final answer
    x = 10,966.13

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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.