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Finding the Fourth Proportional to 14,108.86, 19,467.07 and 8,140.15

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Solution

The fourth proportional to 14,108.86, 19,467.07 and 8,140.15 is: 11,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.86 : 19,467.07 = 8,140.15 : x
  2. Step 2: Convert to fraction form
    14,108.86/19,467.07 = 8,140.15/x
  3. Step 3: Cross multiply
    14,108.86x = 19,467.07 × 8,140.15
  4. Step 4: Simplify right side
    14,108.86x = 158,464,869.86
  5. Step 5: Solve for x
    x = 158,464,869.86/14,108.86
  6. Step 6: Final answer
    x = 11,231.59

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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.