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Finding the Fourth Proportional to 21,491.39, 29,677.02 and 13,438.83

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Solution

The fourth proportional to 21,491.39, 29,677.02 and 13,438.83 is: 18,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,491.39 : 29,677.02 = 13,438.83 : x
  2. Step 2: Convert to fraction form
    21,491.39/29,677.02 = 13,438.83/x
  3. Step 3: Cross multiply
    21,491.39x = 29,677.02 × 13,438.83
  4. Step 4: Simplify right side
    21,491.39x = 398,824,426.69
  5. Step 5: Solve for x
    x = 398,824,426.69/21,491.39
  6. Step 6: Final answer
    x = 18,557.41

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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.