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Finding the Fourth Proportional to 21,115.74, 31,674.99 and 7,077.24

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Solution

The fourth proportional to 21,115.74, 31,674.99 and 7,077.24 is: 10,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.74 : 31,674.99 = 7,077.24 : x
  2. Step 2: Convert to fraction form
    21,115.74/31,674.99 = 7,077.24/x
  3. Step 3: Cross multiply
    21,115.74x = 31,674.99 × 7,077.24
  4. Step 4: Simplify right side
    21,115.74x = 224,171,506.23
  5. Step 5: Solve for x
    x = 224,171,506.23/21,115.74
  6. Step 6: Final answer
    x = 10,616.32

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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.