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Finding the Fourth Proportional to 22,085.50, 30,478.48 and 12,149.50

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Solution

The fourth proportional to 22,085.50, 30,478.48 and 12,149.50 is: 16,766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085.50 : 30,478.48 = 12,149.50 : x
  2. Step 2: Convert to fraction form
    22,085.50/30,478.48 = 12,149.50/x
  3. Step 3: Cross multiply
    22,085.50x = 30,478.48 × 12,149.50
  4. Step 4: Simplify right side
    22,085.50x = 370,298,292.76
  5. Step 5: Solve for x
    x = 370,298,292.76/22,085.50
  6. Step 6: Final answer
    x = 16,766.58

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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.