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Finding the Fourth Proportional to 15,647.38, 21,593.24 and 8,477.13

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Solution

The fourth proportional to 15,647.38, 21,593.24 and 8,477.13 is: 11,698.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,647.38 : 21,593.24 = 8,477.13 : x
  2. Step 2: Convert to fraction form
    15,647.38/21,593.24 = 8,477.13/x
  3. Step 3: Cross multiply
    15,647.38x = 21,593.24 × 8,477.13
  4. Step 4: Simplify right side
    15,647.38x = 183,048,702.60
  5. Step 5: Solve for x
    x = 183,048,702.60/15,647.38
  6. Step 6: Final answer
    x = 11,698.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.