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Finding the Fourth Proportional to 13,109.86, 18,091.44 and 7,141.50

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Solution

The fourth proportional to 13,109.86, 18,091.44 and 7,141.50 is: 9,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.86 : 18,091.44 = 7,141.50 : x
  2. Step 2: Convert to fraction form
    13,109.86/18,091.44 = 7,141.50/x
  3. Step 3: Cross multiply
    13,109.86x = 18,091.44 × 7,141.50
  4. Step 4: Simplify right side
    13,109.86x = 129,200,018.76
  5. Step 5: Solve for x
    x = 129,200,018.76/13,109.86
  6. Step 6: Final answer
    x = 9,855.18

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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.