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Finding the Fourth Proportional to 15,701.50, 23,552.73 and 4,757.50

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Solution

The fourth proportional to 15,701.50, 23,552.73 and 4,757.50 is: 7,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,701.50 : 23,552.73 = 4,757.50 : x
  2. Step 2: Convert to fraction form
    15,701.50/23,552.73 = 4,757.50/x
  3. Step 3: Cross multiply
    15,701.50x = 23,552.73 × 4,757.50
  4. Step 4: Simplify right side
    15,701.50x = 112,052,112.98
  5. Step 5: Solve for x
    x = 112,052,112.98/15,701.50
  6. Step 6: Final answer
    x = 7,136.40

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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.