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Finding the Fourth Proportional to 13,078.22, 18,047.83 and 7,109.87

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Solution

The fourth proportional to 13,078.22, 18,047.83 and 7,109.87 is: 9,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078.22 : 18,047.83 = 7,109.87 : x
  2. Step 2: Convert to fraction form
    13,078.22/18,047.83 = 7,109.87/x
  3. Step 3: Cross multiply
    13,078.22x = 18,047.83 × 7,109.87
  4. Step 4: Simplify right side
    13,078.22x = 128,317,689.53
  5. Step 5: Solve for x
    x = 128,317,689.53/13,078.22
  6. Step 6: Final answer
    x = 9,811.56

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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.