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Finding the Fourth Proportional to 12,949.80, 19,424.70 and 8,003.40

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Solution

The fourth proportional to 12,949.80, 19,424.70 and 8,003.40 is: 12,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949.80 : 19,424.70 = 8,003.40 : x
  2. Step 2: Convert to fraction form
    12,949.80/19,424.70 = 8,003.40/x
  3. Step 3: Cross multiply
    12,949.80x = 19,424.70 × 8,003.40
  4. Step 4: Simplify right side
    12,949.80x = 155,463,643.98
  5. Step 5: Solve for x
    x = 155,463,643.98/12,949.80
  6. Step 6: Final answer
    x = 12,005.10

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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.