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Finding the Fourth Proportional to 21,632.57, 32,449.11 and 7,592.94

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Solution

The fourth proportional to 21,632.57, 32,449.11 and 7,592.94 is: 11,389.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,632.57 : 32,449.11 = 7,592.94 : x
  2. Step 2: Convert to fraction form
    21,632.57/32,449.11 = 7,592.94/x
  3. Step 3: Cross multiply
    21,632.57x = 32,449.11 × 7,592.94
  4. Step 4: Simplify right side
    21,632.57x = 246,384,116.81
  5. Step 5: Solve for x
    x = 246,384,116.81/21,632.57
  6. Step 6: Final answer
    x = 11,389.50

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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.