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Finding the Fourth Proportional to 24,858.09, 37,285.92 and 9,274.50

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Solution

The fourth proportional to 24,858.09, 37,285.92 and 9,274.50 is: 13,911.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.09 : 37,285.92 = 9,274.50 : x
  2. Step 2: Convert to fraction form
    24,858.09/37,285.92 = 9,274.50/x
  3. Step 3: Cross multiply
    24,858.09x = 37,285.92 × 9,274.50
  4. Step 4: Simplify right side
    24,858.09x = 345,808,265.04
  5. Step 5: Solve for x
    x = 345,808,265.04/24,858.09
  6. Step 6: Final answer
    x = 13,911.30

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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.