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Finding the Fourth Proportional to 23,714, 35,565.60 and 8,924.48

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Solution

The fourth proportional to 23,714, 35,565.60 and 8,924.48 is: 13,384.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714 : 35,565.60 = 8,924.48 : x
  2. Step 2: Convert to fraction form
    23,714/35,565.60 = 8,924.48/x
  3. Step 3: Cross multiply
    23,714x = 35,565.60 × 8,924.48
  4. Step 4: Simplify right side
    23,714x = 317,404,485.89
  5. Step 5: Solve for x
    x = 317,404,485.89/23,714
  6. Step 6: Final answer
    x = 13,384.69

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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.