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Finding the Fourth Proportional to 11,873.42, 16,416.62 and 10,397.19

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Solution

The fourth proportional to 11,873.42, 16,416.62 and 10,397.19 is: 14,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.42 : 16,416.62 = 10,397.19 : x
  2. Step 2: Convert to fraction form
    11,873.42/16,416.62 = 10,397.19/x
  3. Step 3: Cross multiply
    11,873.42x = 16,416.62 × 10,397.19
  4. Step 4: Simplify right side
    11,873.42x = 170,686,824.35
  5. Step 5: Solve for x
    x = 170,686,824.35/11,873.42
  6. Step 6: Final answer
    x = 14,375.54

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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.