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Finding the Fourth Proportional to 21,710.40, 32,542.80 and 13,818.96

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Solution

The fourth proportional to 21,710.40, 32,542.80 and 13,818.96 is: 20,713.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.40 : 32,542.80 = 13,818.96 : x
  2. Step 2: Convert to fraction form
    21,710.40/32,542.80 = 13,818.96/x
  3. Step 3: Cross multiply
    21,710.40x = 32,542.80 × 13,818.96
  4. Step 4: Simplify right side
    21,710.40x = 449,707,651.49
  5. Step 5: Solve for x
    x = 449,707,651.49/21,710.40
  6. Step 6: Final answer
    x = 20,713.93

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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.