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Finding the Fourth Proportional to 15,443.94, 23,163 and 7,538.52

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Solution

The fourth proportional to 15,443.94, 23,163 and 7,538.52 is: 11,306.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,443.94 : 23,163 = 7,538.52 : x
  2. Step 2: Convert to fraction form
    15,443.94/23,163 = 7,538.52/x
  3. Step 3: Cross multiply
    15,443.94x = 23,163 × 7,538.52
  4. Step 4: Simplify right side
    15,443.94x = 174,614,738.76
  5. Step 5: Solve for x
    x = 174,614,738.76/15,443.94
  6. Step 6: Final answer
    x = 11,306.36

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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.