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Finding the Fourth Proportional to 22,665.40, 34,009.23 and 10,194.23

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Solution

The fourth proportional to 22,665.40, 34,009.23 and 10,194.23 is: 15,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.40 : 34,009.23 = 10,194.23 : x
  2. Step 2: Convert to fraction form
    22,665.40/34,009.23 = 10,194.23/x
  3. Step 3: Cross multiply
    22,665.40x = 34,009.23 × 10,194.23
  4. Step 4: Simplify right side
    22,665.40x = 346,697,912.74
  5. Step 5: Solve for x
    x = 346,697,912.74/22,665.40
  6. Step 6: Final answer
    x = 15,296.35

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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.