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Finding the Fourth Proportional to 15,735.75, 23,607.27 and 5,347.50

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Solution

The fourth proportional to 15,735.75, 23,607.27 and 5,347.50 is: 8,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.75 : 23,607.27 = 5,347.50 : x
  2. Step 2: Convert to fraction form
    15,735.75/23,607.27 = 5,347.50/x
  3. Step 3: Cross multiply
    15,735.75x = 23,607.27 × 5,347.50
  4. Step 4: Simplify right side
    15,735.75x = 126,239,876.33
  5. Step 5: Solve for x
    x = 126,239,876.33/15,735.75
  6. Step 6: Final answer
    x = 8,022.49

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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.