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Finding the Fourth Proportional to 12,714.66, 19,064.09 and 5,310.05

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Solution

The fourth proportional to 12,714.66, 19,064.09 and 5,310.05 is: 7,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.66 : 19,064.09 = 5,310.05 : x
  2. Step 2: Convert to fraction form
    12,714.66/19,064.09 = 5,310.05/x
  3. Step 3: Cross multiply
    12,714.66x = 19,064.09 × 5,310.05
  4. Step 4: Simplify right side
    12,714.66x = 101,231,189.06
  5. Step 5: Solve for x
    x = 101,231,189.06/12,714.66
  6. Step 6: Final answer
    x = 7,961.77

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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.