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Finding the Fourth Proportional to 24,720, 37,080.32 and 8,304

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Solution

The fourth proportional to 24,720, 37,080.32 and 8,304 is: 12,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,720 : 37,080.32 = 8,304 : x
  2. Step 2: Convert to fraction form
    24,720/37,080.32 = 8,304/x
  3. Step 3: Cross multiply
    24,720x = 37,080.32 × 8,304
  4. Step 4: Simplify right side
    24,720x = 307,914,977.28
  5. Step 5: Solve for x
    x = 307,914,977.28/24,720
  6. Step 6: Final answer
    x = 12,456.11

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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.