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Finding the Fourth Proportional to 21,808.71, 32,721.21 and 13,049.76

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Solution

The fourth proportional to 21,808.71, 32,721.21 and 13,049.76 is: 19,579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.71 : 32,721.21 = 13,049.76 : x
  2. Step 2: Convert to fraction form
    21,808.71/32,721.21 = 13,049.76/x
  3. Step 3: Cross multiply
    21,808.71x = 32,721.21 × 13,049.76
  4. Step 4: Simplify right side
    21,808.71x = 427,003,937.41
  5. Step 5: Solve for x
    x = 427,003,937.41/21,808.71
  6. Step 6: Final answer
    x = 19,579.51

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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.