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Finding the Fourth Proportional to 12,782.93, 19,173.05 and 3,423.92

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Solution

The fourth proportional to 12,782.93, 19,173.05 and 3,423.92 is: 5,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,782.93 : 19,173.05 = 3,423.92 : x
  2. Step 2: Convert to fraction form
    12,782.93/19,173.05 = 3,423.92/x
  3. Step 3: Cross multiply
    12,782.93x = 19,173.05 × 3,423.92
  4. Step 4: Simplify right side
    12,782.93x = 65,646,908.47
  5. Step 5: Solve for x
    x = 65,646,908.47/12,782.93
  6. Step 6: Final answer
    x = 5,135.51

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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.