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Finding the Fourth Proportional to 13,176.83, 18,181.08 and 7,870.63

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Solution

The fourth proportional to 13,176.83, 18,181.08 and 7,870.63 is: 10,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.83 : 18,181.08 = 7,870.63 : x
  2. Step 2: Convert to fraction form
    13,176.83/18,181.08 = 7,870.63/x
  3. Step 3: Cross multiply
    13,176.83x = 18,181.08 × 7,870.63
  4. Step 4: Simplify right side
    13,176.83x = 143,096,553.68
  5. Step 5: Solve for x
    x = 143,096,553.68/13,176.83
  6. Step 6: Final answer
    x = 10,859.71

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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.