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Finding the Fourth Proportional to 13,009.98, 17,949.66 and 7,971.60

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Solution

The fourth proportional to 13,009.98, 17,949.66 and 7,971.60 is: 10,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.98 : 17,949.66 = 7,971.60 : x
  2. Step 2: Convert to fraction form
    13,009.98/17,949.66 = 7,971.60/x
  3. Step 3: Cross multiply
    13,009.98x = 17,949.66 × 7,971.60
  4. Step 4: Simplify right side
    13,009.98x = 143,087,509.66
  5. Step 5: Solve for x
    x = 143,087,509.66/13,009.98
  6. Step 6: Final answer
    x = 10,998.29

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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.