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Finding the Fourth Proportional to 23,422.74, 35,137.35 and 9,568.50

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Solution

The fourth proportional to 23,422.74, 35,137.35 and 9,568.50 is: 14,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.74 : 35,137.35 = 9,568.50 : x
  2. Step 2: Convert to fraction form
    23,422.74/35,137.35 = 9,568.50/x
  3. Step 3: Cross multiply
    23,422.74x = 35,137.35 × 9,568.50
  4. Step 4: Simplify right side
    23,422.74x = 336,211,733.48
  5. Step 5: Solve for x
    x = 336,211,733.48/23,422.74
  6. Step 6: Final answer
    x = 14,354.07

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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.