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Finding the Fourth Proportional to 12,803.40, 19,185.66 and 6,227.82

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Solution

The fourth proportional to 12,803.40, 19,185.66 and 6,227.82 is: 9,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.40 : 19,185.66 = 6,227.82 : x
  2. Step 2: Convert to fraction form
    12,803.40/19,185.66 = 6,227.82/x
  3. Step 3: Cross multiply
    12,803.40x = 19,185.66 × 6,227.82
  4. Step 4: Simplify right side
    12,803.40x = 119,484,837.06
  5. Step 5: Solve for x
    x = 119,484,837.06/12,803.40
  6. Step 6: Final answer
    x = 9,332.27

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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.