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Finding the Fourth Proportional to 21,744.64, 32,606.67 and 8,423.87

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Solution

The fourth proportional to 21,744.64, 32,606.67 and 8,423.87 is: 12,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.64 : 32,606.67 = 8,423.87 : x
  2. Step 2: Convert to fraction form
    21,744.64/32,606.67 = 8,423.87/x
  3. Step 3: Cross multiply
    21,744.64x = 32,606.67 × 8,423.87
  4. Step 4: Simplify right side
    21,744.64x = 274,674,401.18
  5. Step 5: Solve for x
    x = 274,674,401.18/21,744.64
  6. Step 6: Final answer
    x = 12,631.82

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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.