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Finding the Fourth Proportional to 23,027.40, 34,541.02 and 9,871.24

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Solution

The fourth proportional to 23,027.40, 34,541.02 and 9,871.24 is: 14,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.40 : 34,541.02 = 9,871.24 : x
  2. Step 2: Convert to fraction form
    23,027.40/34,541.02 = 9,871.24/x
  3. Step 3: Cross multiply
    23,027.40x = 34,541.02 × 9,871.24
  4. Step 4: Simplify right side
    23,027.40x = 340,962,698.26
  5. Step 5: Solve for x
    x = 340,962,698.26/23,027.40
  6. Step 6: Final answer
    x = 14,806.83

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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.