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Finding the Fourth Proportional to 15,980.31, 22,053.58 and 8,906.78

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Solution

The fourth proportional to 15,980.31, 22,053.58 and 8,906.78 is: 12,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.31 : 22,053.58 = 8,906.78 : x
  2. Step 2: Convert to fraction form
    15,980.31/22,053.58 = 8,906.78/x
  3. Step 3: Cross multiply
    15,980.31x = 22,053.58 × 8,906.78
  4. Step 4: Simplify right side
    15,980.31x = 196,426,385.27
  5. Step 5: Solve for x
    x = 196,426,385.27/15,980.31
  6. Step 6: Final answer
    x = 12,291.78

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