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Finding the Fourth Proportional to 12,643.69, 18,869.39 and 11,242.46

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Solution

The fourth proportional to 12,643.69, 18,869.39 and 11,242.46 is: 16,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.69 : 18,869.39 = 11,242.46 : x
  2. Step 2: Convert to fraction form
    12,643.69/18,869.39 = 11,242.46/x
  3. Step 3: Cross multiply
    12,643.69x = 18,869.39 × 11,242.46
  4. Step 4: Simplify right side
    12,643.69x = 212,138,353.26
  5. Step 5: Solve for x
    x = 212,138,353.26/12,643.69
  6. Step 6: Final answer
    x = 16,778.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.