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Finding the Fourth Proportional to 23,679.42, 35,522.98 and 8,889.50

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Solution

The fourth proportional to 23,679.42, 35,522.98 and 8,889.50 is: 13,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.42 : 35,522.98 = 8,889.50 : x
  2. Step 2: Convert to fraction form
    23,679.42/35,522.98 = 8,889.50/x
  3. Step 3: Cross multiply
    23,679.42x = 35,522.98 × 8,889.50
  4. Step 4: Simplify right side
    23,679.42x = 315,781,530.71
  5. Step 5: Solve for x
    x = 315,781,530.71/23,679.42
  6. Step 6: Final answer
    x = 13,335.70

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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.