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Finding the Fourth Proportional to 19,674.82, 29,512.16 and 9,143.47

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Solution

The fourth proportional to 19,674.82, 29,512.16 and 9,143.47 is: 13,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674.82 : 29,512.16 = 9,143.47 : x
  2. Step 2: Convert to fraction form
    19,674.82/29,512.16 = 9,143.47/x
  3. Step 3: Cross multiply
    19,674.82x = 29,512.16 × 9,143.47
  4. Step 4: Simplify right side
    19,674.82x = 269,843,356.32
  5. Step 5: Solve for x
    x = 269,843,356.32/19,674.82
  6. Step 6: Final answer
    x = 13,715.17

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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.