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Finding the Fourth Proportional to 15,616, 23,427.24 and 6,382

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Solution

The fourth proportional to 15,616, 23,427.24 and 6,382 is: 9,574.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616 : 23,427.24 = 6,382 : x
  2. Step 2: Convert to fraction form
    15,616/23,427.24 = 6,382/x
  3. Step 3: Cross multiply
    15,616x = 23,427.24 × 6,382
  4. Step 4: Simplify right side
    15,616x = 149,512,645.68
  5. Step 5: Solve for x
    x = 149,512,645.68/15,616
  6. Step 6: Final answer
    x = 9,574.32

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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.