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Finding the Fourth Proportional to 17,216.31, 25,824.57 and 4,737.65

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Solution

The fourth proportional to 17,216.31, 25,824.57 and 4,737.65 is: 7,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,216.31 : 25,824.57 = 4,737.65 : x
  2. Step 2: Convert to fraction form
    17,216.31/25,824.57 = 4,737.65/x
  3. Step 3: Cross multiply
    17,216.31x = 25,824.57 × 4,737.65
  4. Step 4: Simplify right side
    17,216.31x = 122,347,759.55
  5. Step 5: Solve for x
    x = 122,347,759.55/17,216.31
  6. Step 6: Final answer
    x = 7,106.50

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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.