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Finding the Fourth Proportional to 15,076.44, 22,616.82 and 4,689

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Solution

The fourth proportional to 15,076.44, 22,616.82 and 4,689 is: 7,034.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.44 : 22,616.82 = 4,689 : x
  2. Step 2: Convert to fraction form
    15,076.44/22,616.82 = 4,689/x
  3. Step 3: Cross multiply
    15,076.44x = 22,616.82 × 4,689
  4. Step 4: Simplify right side
    15,076.44x = 106,050,268.98
  5. Step 5: Solve for x
    x = 106,050,268.98/15,076.44
  6. Step 6: Final answer
    x = 7,034.17

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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.