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Finding the Fourth Proportional to 12,778.79, 19,166.02 and 3,542.63

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Solution

The fourth proportional to 12,778.79, 19,166.02 and 3,542.63 is: 5,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.79 : 19,166.02 = 3,542.63 : x
  2. Step 2: Convert to fraction form
    12,778.79/19,166.02 = 3,542.63/x
  3. Step 3: Cross multiply
    12,778.79x = 19,166.02 × 3,542.63
  4. Step 4: Simplify right side
    12,778.79x = 67,898,012.75
  5. Step 5: Solve for x
    x = 67,898,012.75/12,778.79
  6. Step 6: Final answer
    x = 5,313.34

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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.