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Finding the Fourth Proportional to 24,712.08, 37,071.76 and 7,179.62

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Solution

The fourth proportional to 24,712.08, 37,071.76 and 7,179.62 is: 10,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712.08 : 37,071.76 = 7,179.62 : x
  2. Step 2: Convert to fraction form
    24,712.08/37,071.76 = 7,179.62/x
  3. Step 3: Cross multiply
    24,712.08x = 37,071.76 × 7,179.62
  4. Step 4: Simplify right side
    24,712.08x = 266,161,149.53
  5. Step 5: Solve for x
    x = 266,161,149.53/24,712.08
  6. Step 6: Final answer
    x = 10,770.49

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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.