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Finding the Fourth Proportional to 24,970.50, 37,459.29 and 8,097.79

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Solution

The fourth proportional to 24,970.50, 37,459.29 and 8,097.79 is: 12,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970.50 : 37,459.29 = 8,097.79 : x
  2. Step 2: Convert to fraction form
    24,970.50/37,459.29 = 8,097.79/x
  3. Step 3: Cross multiply
    24,970.50x = 37,459.29 × 8,097.79
  4. Step 4: Simplify right side
    24,970.50x = 303,337,463.97
  5. Step 5: Solve for x
    x = 303,337,463.97/24,970.50
  6. Step 6: Final answer
    x = 12,147.83

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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.