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Finding the Fourth Proportional to 21,337.12, 32,022.02 and 9,658.54

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Solution

The fourth proportional to 21,337.12, 32,022.02 and 9,658.54 is: 14,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337.12 : 32,022.02 = 9,658.54 : x
  2. Step 2: Convert to fraction form
    21,337.12/32,022.02 = 9,658.54/x
  3. Step 3: Cross multiply
    21,337.12x = 32,022.02 × 9,658.54
  4. Step 4: Simplify right side
    21,337.12x = 309,285,912.76
  5. Step 5: Solve for x
    x = 309,285,912.76/21,337.12
  6. Step 6: Final answer
    x = 14,495.20

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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.