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Finding the Fourth Proportional to 24,644.25, 36,966.42 and 6,176.25

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Solution

The fourth proportional to 24,644.25, 36,966.42 and 6,176.25 is: 9,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.25 : 36,966.42 = 6,176.25 : x
  2. Step 2: Convert to fraction form
    24,644.25/36,966.42 = 6,176.25/x
  3. Step 3: Cross multiply
    24,644.25x = 36,966.42 × 6,176.25
  4. Step 4: Simplify right side
    24,644.25x = 228,313,851.53
  5. Step 5: Solve for x
    x = 228,313,851.53/24,644.25
  6. Step 6: Final answer
    x = 9,264.39

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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.