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Finding the Fourth Proportional to 22,674.77, 34,000.49 and 10,184.07

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Solution

The fourth proportional to 22,674.77, 34,000.49 and 10,184.07 is: 15,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.77 : 34,000.49 = 10,184.07 : x
  2. Step 2: Convert to fraction form
    22,674.77/34,000.49 = 10,184.07/x
  3. Step 3: Cross multiply
    22,674.77x = 34,000.49 × 10,184.07
  4. Step 4: Simplify right side
    22,674.77x = 346,263,319.27
  5. Step 5: Solve for x
    x = 346,263,319.27/22,674.77
  6. Step 6: Final answer
    x = 15,270.87

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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.