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Finding the Fourth Proportional to 21,658.13, 32,485.00 and 14,682.97

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Solution

The fourth proportional to 21,658.13, 32,485.00 and 14,682.97 is: 22,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,658.13 : 32,485.00 = 14,682.97 : x
  2. Step 2: Convert to fraction form
    21,658.13/32,485.00 = 14,682.97/x
  3. Step 3: Cross multiply
    21,658.13x = 32,485.00 × 14,682.97
  4. Step 4: Simplify right side
    21,658.13x = 476,976,311.88
  5. Step 5: Solve for x
    x = 476,976,311.88/21,658.13
  6. Step 6: Final answer
    x = 22,022.96

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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.