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Finding the Fourth Proportional to 21,653.20, 32,455.18 and 9,165.42

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Solution

The fourth proportional to 21,653.20, 32,455.18 and 9,165.42 is: 13,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.20 : 32,455.18 = 9,165.42 : x
  2. Step 2: Convert to fraction form
    21,653.20/32,455.18 = 9,165.42/x
  3. Step 3: Cross multiply
    21,653.20x = 32,455.18 × 9,165.42
  4. Step 4: Simplify right side
    21,653.20x = 297,465,355.88
  5. Step 5: Solve for x
    x = 297,465,355.88/21,653.20
  6. Step 6: Final answer
    x = 13,737.71

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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.