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Finding the Fourth Proportional to 15,615, 23,425.74 and 6,381

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Solution

The fourth proportional to 15,615, 23,425.74 and 6,381 is: 9,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,615 : 23,425.74 = 6,381 : x
  2. Step 2: Convert to fraction form
    15,615/23,425.74 = 6,381/x
  3. Step 3: Cross multiply
    15,615x = 23,425.74 × 6,381
  4. Step 4: Simplify right side
    15,615x = 149,479,646.94
  5. Step 5: Solve for x
    x = 149,479,646.94/15,615
  6. Step 6: Final answer
    x = 9,572.82

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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.