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Finding the Fourth Proportional to 21,418.24, 32,120.88 and 7,564

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Solution

The fourth proportional to 21,418.24, 32,120.88 and 7,564 is: 11,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,418.24 : 32,120.88 = 7,564 : x
  2. Step 2: Convert to fraction form
    21,418.24/32,120.88 = 7,564/x
  3. Step 3: Cross multiply
    21,418.24x = 32,120.88 × 7,564
  4. Step 4: Simplify right side
    21,418.24x = 242,962,336.32
  5. Step 5: Solve for x
    x = 242,962,336.32/21,418.24
  6. Step 6: Final answer
    x = 11,343.71

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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.