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Finding the Fourth Proportional to 15,596.52, 23,398.30 and 5,208

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Solution

The fourth proportional to 15,596.52, 23,398.30 and 5,208 is: 7,813.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.52 : 23,398.30 = 5,208 : x
  2. Step 2: Convert to fraction form
    15,596.52/23,398.30 = 5,208/x
  3. Step 3: Cross multiply
    15,596.52x = 23,398.30 × 5,208
  4. Step 4: Simplify right side
    15,596.52x = 121,858,346.40
  5. Step 5: Solve for x
    x = 121,858,346.40/15,596.52
  6. Step 6: Final answer
    x = 7,813.18

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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.