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Finding the Fourth Proportional to 12,802.71, 19,198.43 and 6,473.70

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Solution

The fourth proportional to 12,802.71, 19,198.43 and 6,473.70 is: 9,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.71 : 19,198.43 = 6,473.70 : x
  2. Step 2: Convert to fraction form
    12,802.71/19,198.43 = 6,473.70/x
  3. Step 3: Cross multiply
    12,802.71x = 19,198.43 × 6,473.70
  4. Step 4: Simplify right side
    12,802.71x = 124,284,876.29
  5. Step 5: Solve for x
    x = 124,284,876.29/12,802.71
  6. Step 6: Final answer
    x = 9,707.70

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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.