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Finding the Fourth Proportional to 23,508.42, 35,263.14 and 8,516.88

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Solution

The fourth proportional to 23,508.42, 35,263.14 and 8,516.88 is: 12,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.42 : 35,263.14 = 8,516.88 : x
  2. Step 2: Convert to fraction form
    23,508.42/35,263.14 = 8,516.88/x
  3. Step 3: Cross multiply
    23,508.42x = 35,263.14 × 8,516.88
  4. Step 4: Simplify right side
    23,508.42x = 300,331,947.77
  5. Step 5: Solve for x
    x = 300,331,947.77/23,508.42
  6. Step 6: Final answer
    x = 12,775.50

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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.