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Finding the Fourth Proportional to 12,814.16, 19,218.84 and 5,886.96

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Solution

The fourth proportional to 12,814.16, 19,218.84 and 5,886.96 is: 8,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.16 : 19,218.84 = 5,886.96 : x
  2. Step 2: Convert to fraction form
    12,814.16/19,218.84 = 5,886.96/x
  3. Step 3: Cross multiply
    12,814.16x = 19,218.84 × 5,886.96
  4. Step 4: Simplify right side
    12,814.16x = 113,140,542.33
  5. Step 5: Solve for x
    x = 113,140,542.33/12,814.16
  6. Step 6: Final answer
    x = 8,829.34

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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.