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Finding the Fourth Proportional to 21,438.81, 32,157.95 and 9,589.46

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Solution

The fourth proportional to 21,438.81, 32,157.95 and 9,589.46 is: 14,384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,438.81 : 32,157.95 = 9,589.46 : x
  2. Step 2: Convert to fraction form
    21,438.81/32,157.95 = 9,589.46/x
  3. Step 3: Cross multiply
    21,438.81x = 32,157.95 × 9,589.46
  4. Step 4: Simplify right side
    21,438.81x = 308,377,166.47
  5. Step 5: Solve for x
    x = 308,377,166.47/21,438.81
  6. Step 6: Final answer
    x = 14,384.06

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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.