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Finding the Fourth Proportional to 13,105.86, 18,085.50 and 7,137.17

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Solution

The fourth proportional to 13,105.86, 18,085.50 and 7,137.17 is: 9,848.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.86 : 18,085.50 = 7,137.17 : x
  2. Step 2: Convert to fraction form
    13,105.86/18,085.50 = 7,137.17/x
  3. Step 3: Cross multiply
    13,105.86x = 18,085.50 × 7,137.17
  4. Step 4: Simplify right side
    13,105.86x = 129,079,197.61
  5. Step 5: Solve for x
    x = 129,079,197.61/13,105.86
  6. Step 6: Final answer
    x = 9,848.97

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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.