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Finding the Fourth Proportional to 21,644.85, 32,470.53 and 7,602.41

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Solution

The fourth proportional to 21,644.85, 32,470.53 and 7,602.41 is: 11,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.85 : 32,470.53 = 7,602.41 : x
  2. Step 2: Convert to fraction form
    21,644.85/32,470.53 = 7,602.41/x
  3. Step 3: Cross multiply
    21,644.85x = 32,470.53 × 7,602.41
  4. Step 4: Simplify right side
    21,644.85x = 246,854,141.21
  5. Step 5: Solve for x
    x = 246,854,141.21/21,644.85
  6. Step 6: Final answer
    x = 11,404.75

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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.