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Finding the Fourth Proportional to 22,518.50, 31,077.41 and 12,448.91

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Solution

The fourth proportional to 22,518.50, 31,077.41 and 12,448.91 is: 17,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.50 : 31,077.41 = 12,448.91 : x
  2. Step 2: Convert to fraction form
    22,518.50/31,077.41 = 12,448.91/x
  3. Step 3: Cross multiply
    22,518.50x = 31,077.41 × 12,448.91
  4. Step 4: Simplify right side
    22,518.50x = 386,879,895.57
  5. Step 5: Solve for x
    x = 386,879,895.57/22,518.50
  6. Step 6: Final answer
    x = 17,180.54

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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.