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Finding the Fourth Proportional to 15,065, 22,589.59 and 5,201.94

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Solution

The fourth proportional to 15,065, 22,589.59 and 5,201.94 is: 7,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,065 : 22,589.59 = 5,201.94 : x
  2. Step 2: Convert to fraction form
    15,065/22,589.59 = 5,201.94/x
  3. Step 3: Cross multiply
    15,065x = 22,589.59 × 5,201.94
  4. Step 4: Simplify right side
    15,065x = 117,509,691.80
  5. Step 5: Solve for x
    x = 117,509,691.80/15,065
  6. Step 6: Final answer
    x = 7,800.18

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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.