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Finding the Fourth Proportional to 22,674.24, 34,009.44 and 7,880.64

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Solution

The fourth proportional to 22,674.24, 34,009.44 and 7,880.64 is: 11,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.24 : 34,009.44 = 7,880.64 : x
  2. Step 2: Convert to fraction form
    22,674.24/34,009.44 = 7,880.64/x
  3. Step 3: Cross multiply
    22,674.24x = 34,009.44 × 7,880.64
  4. Step 4: Simplify right side
    22,674.24x = 268,016,153.24
  5. Step 5: Solve for x
    x = 268,016,153.24/22,674.24
  6. Step 6: Final answer
    x = 11,820.29

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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.