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Finding the Fourth Proportional to 15,980.24, 22,052.12 and 8,906.32

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Solution

The fourth proportional to 15,980.24, 22,052.12 and 8,906.32 is: 12,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.24 : 22,052.12 = 8,906.32 : x
  2. Step 2: Convert to fraction form
    15,980.24/22,052.12 = 8,906.32/x
  3. Step 3: Cross multiply
    15,980.24x = 22,052.12 × 8,906.32
  4. Step 4: Simplify right side
    15,980.24x = 196,403,237.40
  5. Step 5: Solve for x
    x = 196,403,237.40/15,980.24
  6. Step 6: Final answer
    x = 12,290.38

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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.