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Finding the Fourth Proportional to 21,732.66, 32,599 and 13,990.68

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Solution

The fourth proportional to 21,732.66, 32,599 and 13,990.68 is: 20,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.66 : 32,599 = 13,990.68 : x
  2. Step 2: Convert to fraction form
    21,732.66/32,599 = 13,990.68/x
  3. Step 3: Cross multiply
    21,732.66x = 32,599 × 13,990.68
  4. Step 4: Simplify right side
    21,732.66x = 456,082,177.32
  5. Step 5: Solve for x
    x = 456,082,177.32/21,732.66
  6. Step 6: Final answer
    x = 20,986.03

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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.