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Finding the Fourth Proportional to 15,582.88, 23,375.53 and 5,194.63

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Solution

The fourth proportional to 15,582.88, 23,375.53 and 5,194.63 is: 7,792.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.88 : 23,375.53 = 5,194.63 : x
  2. Step 2: Convert to fraction form
    15,582.88/23,375.53 = 5,194.63/x
  3. Step 3: Cross multiply
    15,582.88x = 23,375.53 × 5,194.63
  4. Step 4: Simplify right side
    15,582.88x = 121,427,112.53
  5. Step 5: Solve for x
    x = 121,427,112.53/15,582.88
  6. Step 6: Final answer
    x = 7,792.34

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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.