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Finding the Fourth Proportional to 24,861.10, 37,291.74 and 9,278.50

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Solution

The fourth proportional to 24,861.10, 37,291.74 and 9,278.50 is: 13,917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.10 : 37,291.74 = 9,278.50 : x
  2. Step 2: Convert to fraction form
    24,861.10/37,291.74 = 9,278.50/x
  3. Step 3: Cross multiply
    24,861.10x = 37,291.74 × 9,278.50
  4. Step 4: Simplify right side
    24,861.10x = 346,011,409.59
  5. Step 5: Solve for x
    x = 346,011,409.59/24,861.10
  6. Step 6: Final answer
    x = 13,917.78

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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.