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Finding the Fourth Proportional to 14,161.92, 19,544.16 and 7,874.16

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Solution

The fourth proportional to 14,161.92, 19,544.16 and 7,874.16 is: 10,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.92 : 19,544.16 = 7,874.16 : x
  2. Step 2: Convert to fraction form
    14,161.92/19,544.16 = 7,874.16/x
  3. Step 3: Cross multiply
    14,161.92x = 19,544.16 × 7,874.16
  4. Step 4: Simplify right side
    14,161.92x = 153,893,842.91
  5. Step 5: Solve for x
    x = 153,893,842.91/14,161.92
  6. Step 6: Final answer
    x = 10,866.74

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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.