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Finding the Fourth Proportional to 24,730.80, 37,097.28 and 8,090.76

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Solution

The fourth proportional to 24,730.80, 37,097.28 and 8,090.76 is: 12,136.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,730.80 : 37,097.28 = 8,090.76 : x
  2. Step 2: Convert to fraction form
    24,730.80/37,097.28 = 8,090.76/x
  3. Step 3: Cross multiply
    24,730.80x = 37,097.28 × 8,090.76
  4. Step 4: Simplify right side
    24,730.80x = 300,145,189.13
  5. Step 5: Solve for x
    x = 300,145,189.13/24,730.80
  6. Step 6: Final answer
    x = 12,136.49

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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.