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Finding the Fourth Proportional to 12,776.69, 19,168.10 and 5,383.26

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Solution

The fourth proportional to 12,776.69, 19,168.10 and 5,383.26 is: 8,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.69 : 19,168.10 = 5,383.26 : x
  2. Step 2: Convert to fraction form
    12,776.69/19,168.10 = 5,383.26/x
  3. Step 3: Cross multiply
    12,776.69x = 19,168.10 × 5,383.26
  4. Step 4: Simplify right side
    12,776.69x = 103,186,862.23
  5. Step 5: Solve for x
    x = 103,186,862.23/12,776.69
  6. Step 6: Final answer
    x = 8,076.18

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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.