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Finding the Fourth Proportional to 22,520.98, 31,077.60 and 12,448.82

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Solution

The fourth proportional to 22,520.98, 31,077.60 and 12,448.82 is: 17,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.98 : 31,077.60 = 12,448.82 : x
  2. Step 2: Convert to fraction form
    22,520.98/31,077.60 = 12,448.82/x
  3. Step 3: Cross multiply
    22,520.98x = 31,077.60 × 12,448.82
  4. Step 4: Simplify right side
    22,520.98x = 386,879,448.43
  5. Step 5: Solve for x
    x = 386,879,448.43/22,520.98
  6. Step 6: Final answer
    x = 17,178.62

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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.