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Finding the Fourth Proportional to 21,598.77, 32,402.24 and 8,450.31

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Solution

The fourth proportional to 21,598.77, 32,402.24 and 8,450.31 is: 12,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598.77 : 32,402.24 = 8,450.31 : x
  2. Step 2: Convert to fraction form
    21,598.77/32,402.24 = 8,450.31/x
  3. Step 3: Cross multiply
    21,598.77x = 32,402.24 × 8,450.31
  4. Step 4: Simplify right side
    21,598.77x = 273,808,972.69
  5. Step 5: Solve for x
    x = 273,808,972.69/21,598.77
  6. Step 6: Final answer
    x = 12,677.06

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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.