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Finding the Fourth Proportional to 22,940.47, 34,412.06 and 7,147.77

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Solution

The fourth proportional to 22,940.47, 34,412.06 and 7,147.77 is: 10,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,940.47 : 34,412.06 = 7,147.77 : x
  2. Step 2: Convert to fraction form
    22,940.47/34,412.06 = 7,147.77/x
  3. Step 3: Cross multiply
    22,940.47x = 34,412.06 × 7,147.77
  4. Step 4: Simplify right side
    22,940.47x = 245,969,490.11
  5. Step 5: Solve for x
    x = 245,969,490.11/22,940.47
  6. Step 6: Final answer
    x = 10,722.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.