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Finding the Fourth Proportional to 21,622.79, 32,438.10 and 9,782.13

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Solution

The fourth proportional to 21,622.79, 32,438.10 and 9,782.13 is: 14,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.79 : 32,438.10 = 9,782.13 : x
  2. Step 2: Convert to fraction form
    21,622.79/32,438.10 = 9,782.13/x
  3. Step 3: Cross multiply
    21,622.79x = 32,438.10 × 9,782.13
  4. Step 4: Simplify right side
    21,622.79x = 317,313,650.09
  5. Step 5: Solve for x
    x = 317,313,650.09/21,622.79
  6. Step 6: Final answer
    x = 14,674.97

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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.