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Finding the Fourth Proportional to 12,803.66, 19,192.92 and 6,132.48

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Solution

The fourth proportional to 12,803.66, 19,192.92 and 6,132.48 is: 9,192.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.66 : 19,192.92 = 6,132.48 : x
  2. Step 2: Convert to fraction form
    12,803.66/19,192.92 = 6,132.48/x
  3. Step 3: Cross multiply
    12,803.66x = 19,192.92 × 6,132.48
  4. Step 4: Simplify right side
    12,803.66x = 117,700,198.04
  5. Step 5: Solve for x
    x = 117,700,198.04/12,803.66
  6. Step 6: Final answer
    x = 9,192.70

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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.