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Finding the Fourth Proportional to 21,499.24, 32,252.64 and 7,645

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Solution

The fourth proportional to 21,499.24, 32,252.64 and 7,645 is: 11,468.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.24 : 32,252.64 = 7,645 : x
  2. Step 2: Convert to fraction form
    21,499.24/32,252.64 = 7,645/x
  3. Step 3: Cross multiply
    21,499.24x = 32,252.64 × 7,645
  4. Step 4: Simplify right side
    21,499.24x = 246,571,432.80
  5. Step 5: Solve for x
    x = 246,571,432.80/21,499.24
  6. Step 6: Final answer
    x = 11,468.84

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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.