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Finding the Fourth Proportional to 15,464.54, 23,195.82 and 7,563.98

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Solution

The fourth proportional to 15,464.54, 23,195.82 and 7,563.98 is: 11,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,464.54 : 23,195.82 = 7,563.98 : x
  2. Step 2: Convert to fraction form
    15,464.54/23,195.82 = 7,563.98/x
  3. Step 3: Cross multiply
    15,464.54x = 23,195.82 × 7,563.98
  4. Step 4: Simplify right side
    15,464.54x = 175,452,718.56
  5. Step 5: Solve for x
    x = 175,452,718.56/15,464.54
  6. Step 6: Final answer
    x = 11,345.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.