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Finding the Fourth Proportional to 25,944, 38,919.84 and 12,085.44

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Solution

The fourth proportional to 25,944, 38,919.84 and 12,085.44 is: 18,129.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,944 : 38,919.84 = 12,085.44 : x
  2. Step 2: Convert to fraction form
    25,944/38,919.84 = 12,085.44/x
  3. Step 3: Cross multiply
    25,944x = 38,919.84 × 12,085.44
  4. Step 4: Simplify right side
    25,944x = 470,363,391.13
  5. Step 5: Solve for x
    x = 470,363,391.13/25,944
  6. Step 6: Final answer
    x = 18,129.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.