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Finding the Fourth Proportional to 24,232.68, 36,348 and 7,592.36

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Solution

The fourth proportional to 24,232.68, 36,348 and 7,592.36 is: 11,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.68 : 36,348 = 7,592.36 : x
  2. Step 2: Convert to fraction form
    24,232.68/36,348 = 7,592.36/x
  3. Step 3: Cross multiply
    24,232.68x = 36,348 × 7,592.36
  4. Step 4: Simplify right side
    24,232.68x = 275,966,919.54
  5. Step 5: Solve for x
    x = 275,966,919.54/24,232.68
  6. Step 6: Final answer
    x = 11,388.21

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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.