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Finding the Fourth Proportional to 23,246.40, 34,884 and 9,395.52

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Solution

The fourth proportional to 23,246.40, 34,884 and 9,395.52 is: 14,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,246.40 : 34,884 = 9,395.52 : x
  2. Step 2: Convert to fraction form
    23,246.40/34,884 = 9,395.52/x
  3. Step 3: Cross multiply
    23,246.40x = 34,884 × 9,395.52
  4. Step 4: Simplify right side
    23,246.40x = 327,753,319.68
  5. Step 5: Solve for x
    x = 327,753,319.68/23,246.40
  6. Step 6: Final answer
    x = 14,099.10

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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.