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Finding the Fourth Proportional to 13,064.49, 19,578.51 and 10,143.63

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Solution

The fourth proportional to 13,064.49, 19,578.51 and 10,143.63 is: 15,201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,064.49 : 19,578.51 = 10,143.63 : x
  2. Step 2: Convert to fraction form
    13,064.49/19,578.51 = 10,143.63/x
  3. Step 3: Cross multiply
    13,064.49x = 19,578.51 × 10,143.63
  4. Step 4: Simplify right side
    13,064.49x = 198,597,161.39
  5. Step 5: Solve for x
    x = 198,597,161.39/13,064.49
  6. Step 6: Final answer
    x = 15,201.29

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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.