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Finding the Fourth Proportional to 13,091.87, 18,070.64 and 7,989.23

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Solution

The fourth proportional to 13,091.87, 18,070.64 and 7,989.23 is: 11,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.87 : 18,070.64 = 7,989.23 : x
  2. Step 2: Convert to fraction form
    13,091.87/18,070.64 = 7,989.23/x
  3. Step 3: Cross multiply
    13,091.87x = 18,070.64 × 7,989.23
  4. Step 4: Simplify right side
    13,091.87x = 144,370,459.26
  5. Step 5: Solve for x
    x = 144,370,459.26/13,091.87
  6. Step 6: Final answer
    x = 11,027.49

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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.