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Finding the Fourth Proportional to 21,115.84, 31,660.96 and 14,534.80

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Solution

The fourth proportional to 21,115.84, 31,660.96 and 14,534.80 is: 21,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.84 : 31,660.96 = 14,534.80 : x
  2. Step 2: Convert to fraction form
    21,115.84/31,660.96 = 14,534.80/x
  3. Step 3: Cross multiply
    21,115.84x = 31,660.96 × 14,534.80
  4. Step 4: Simplify right side
    21,115.84x = 460,185,721.41
  5. Step 5: Solve for x
    x = 460,185,721.41/21,115.84
  6. Step 6: Final answer
    x = 21,793.39

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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.