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Finding the Fourth Proportional to 13,107.22, 18,088.06 and 7,138.77

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Solution

The fourth proportional to 13,107.22, 18,088.06 and 7,138.77 is: 9,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.22 : 18,088.06 = 7,138.77 : x
  2. Step 2: Convert to fraction form
    13,107.22/18,088.06 = 7,138.77/x
  3. Step 3: Cross multiply
    13,107.22x = 18,088.06 × 7,138.77
  4. Step 4: Simplify right side
    13,107.22x = 129,126,500.09
  5. Step 5: Solve for x
    x = 129,126,500.09/13,107.22
  6. Step 6: Final answer
    x = 9,851.56

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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.