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Finding the Fourth Proportional to 11,870.42, 17,812.32 and 8,175.61

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Solution

The fourth proportional to 11,870.42, 17,812.32 and 8,175.61 is: 12,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.42 : 17,812.32 = 8,175.61 : x
  2. Step 2: Convert to fraction form
    11,870.42/17,812.32 = 8,175.61/x
  3. Step 3: Cross multiply
    11,870.42x = 17,812.32 × 8,175.61
  4. Step 4: Simplify right side
    11,870.42x = 145,626,581.52
  5. Step 5: Solve for x
    x = 145,626,581.52/11,870.42
  6. Step 6: Final answer
    x = 12,268.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.