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Finding the Fourth Proportional to 13,172.22, 18,177.62 and 7,870.14

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Solution

The fourth proportional to 13,172.22, 18,177.62 and 7,870.14 is: 10,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.22 : 18,177.62 = 7,870.14 : x
  2. Step 2: Convert to fraction form
    13,172.22/18,177.62 = 7,870.14/x
  3. Step 3: Cross multiply
    13,172.22x = 18,177.62 × 7,870.14
  4. Step 4: Simplify right side
    13,172.22x = 143,060,414.27
  5. Step 5: Solve for x
    x = 143,060,414.27/13,172.22
  6. Step 6: Final answer
    x = 10,860.77

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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.