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Finding the Fourth Proportional to 15,750, 23,622.57 and 5,224.59

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Solution

The fourth proportional to 15,750, 23,622.57 and 5,224.59 is: 7,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,750 : 23,622.57 = 5,224.59 : x
  2. Step 2: Convert to fraction form
    15,750/23,622.57 = 5,224.59/x
  3. Step 3: Cross multiply
    15,750x = 23,622.57 × 5,224.59
  4. Step 4: Simplify right side
    15,750x = 123,418,243.00
  5. Step 5: Solve for x
    x = 123,418,243.00/15,750
  6. Step 6: Final answer
    x = 7,836.08

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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.