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Finding the Fourth Proportional to 23,714.34, 35,572.91 and 8,923.39

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Solution

The fourth proportional to 23,714.34, 35,572.91 and 8,923.39 is: 13,385.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.34 : 35,572.91 = 8,923.39 : x
  2. Step 2: Convert to fraction form
    23,714.34/35,572.91 = 8,923.39/x
  3. Step 3: Cross multiply
    23,714.34x = 35,572.91 × 8,923.39
  4. Step 4: Simplify right side
    23,714.34x = 317,430,877.01
  5. Step 5: Solve for x
    x = 317,430,877.01/23,714.34
  6. Step 6: Final answer
    x = 13,385.61

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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.