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Finding the Fourth Proportional to 12,388.74, 17,085.13 and 8,138.10

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Solution

The fourth proportional to 12,388.74, 17,085.13 and 8,138.10 is: 11,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.74 : 17,085.13 = 8,138.10 : x
  2. Step 2: Convert to fraction form
    12,388.74/17,085.13 = 8,138.10/x
  3. Step 3: Cross multiply
    12,388.74x = 17,085.13 × 8,138.10
  4. Step 4: Simplify right side
    12,388.74x = 139,040,496.45
  5. Step 5: Solve for x
    x = 139,040,496.45/12,388.74
  6. Step 6: Final answer
    x = 11,223.13

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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.