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Finding the Fourth Proportional to 22,665.47, 34,009.34 and 10,194.30

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Solution

The fourth proportional to 22,665.47, 34,009.34 and 10,194.30 is: 15,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.47 : 34,009.34 = 10,194.30 : x
  2. Step 2: Convert to fraction form
    22,665.47/34,009.34 = 10,194.30/x
  3. Step 3: Cross multiply
    22,665.47x = 34,009.34 × 10,194.30
  4. Step 4: Simplify right side
    22,665.47x = 346,701,363.79
  5. Step 5: Solve for x
    x = 346,701,363.79/22,665.47
  6. Step 6: Final answer
    x = 15,296.46

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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.