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Finding the Fourth Proportional to 21,744.85, 32,621.46 and 9,264.64

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Solution

The fourth proportional to 21,744.85, 32,621.46 and 9,264.64 is: 13,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.85 : 32,621.46 = 9,264.64 : x
  2. Step 2: Convert to fraction form
    21,744.85/32,621.46 = 9,264.64/x
  3. Step 3: Cross multiply
    21,744.85x = 32,621.46 × 9,264.64
  4. Step 4: Simplify right side
    21,744.85x = 302,226,083.17
  5. Step 5: Solve for x
    x = 302,226,083.17/21,744.85
  6. Step 6: Final answer
    x = 13,898.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.