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Finding the Fourth Proportional to 13,694.11, 18,897.81 and 7,406.47

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Solution

The fourth proportional to 13,694.11, 18,897.81 and 7,406.47 is: 10,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.11 : 18,897.81 = 7,406.47 : x
  2. Step 2: Convert to fraction form
    13,694.11/18,897.81 = 7,406.47/x
  3. Step 3: Cross multiply
    13,694.11x = 18,897.81 × 7,406.47
  4. Step 4: Simplify right side
    13,694.11x = 139,966,062.83
  5. Step 5: Solve for x
    x = 139,966,062.83/13,694.11
  6. Step 6: Final answer
    x = 10,220.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.