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Finding the Fourth Proportional to 15,583, 23,374.50 and 5,195.56

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Solution

The fourth proportional to 15,583, 23,374.50 and 5,195.56 is: 7,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583 : 23,374.50 = 5,195.56 : x
  2. Step 2: Convert to fraction form
    15,583/23,374.50 = 5,195.56/x
  3. Step 3: Cross multiply
    15,583x = 23,374.50 × 5,195.56
  4. Step 4: Simplify right side
    15,583x = 121,443,617.22
  5. Step 5: Solve for x
    x = 121,443,617.22/15,583
  6. Step 6: Final answer
    x = 7,793.34

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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.