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Finding the Fourth Proportional to 22,674.84, 34,023.78 and 10,192.35

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Solution

The fourth proportional to 22,674.84, 34,023.78 and 10,192.35 is: 15,293.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.84 : 34,023.78 = 10,192.35 : x
  2. Step 2: Convert to fraction form
    22,674.84/34,023.78 = 10,192.35/x
  3. Step 3: Cross multiply
    22,674.84x = 34,023.78 × 10,192.35
  4. Step 4: Simplify right side
    22,674.84x = 346,782,274.08
  5. Step 5: Solve for x
    x = 346,782,274.08/22,674.84
  6. Step 6: Final answer
    x = 15,293.70

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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.