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Finding the Fourth Proportional to 23,265.28, 34,899.84 and 9,412.48

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Solution

The fourth proportional to 23,265.28, 34,899.84 and 9,412.48 is: 14,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.28 : 34,899.84 = 9,412.48 : x
  2. Step 2: Convert to fraction form
    23,265.28/34,899.84 = 9,412.48/x
  3. Step 3: Cross multiply
    23,265.28x = 34,899.84 × 9,412.48
  4. Step 4: Simplify right side
    23,265.28x = 328,494,046.00
  5. Step 5: Solve for x
    x = 328,494,046.00/23,265.28
  6. Step 6: Final answer
    x = 14,119.50

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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.