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Finding the Fourth Proportional to 13,174.80, 18,181.44 and 7,870.08

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Solution

The fourth proportional to 13,174.80, 18,181.44 and 7,870.08 is: 10,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.80 : 18,181.44 = 7,870.08 : x
  2. Step 2: Convert to fraction form
    13,174.80/18,181.44 = 7,870.08/x
  3. Step 3: Cross multiply
    13,174.80x = 18,181.44 × 7,870.08
  4. Step 4: Simplify right side
    13,174.80x = 143,089,387.32
  5. Step 5: Solve for x
    x = 143,089,387.32/13,174.80
  6. Step 6: Final answer
    x = 10,860.84

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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.