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Finding the Fourth Proportional to 23,807.42, 35,714.18 and 8,005.68

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Solution

The fourth proportional to 23,807.42, 35,714.18 and 8,005.68 is: 12,009.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.42 : 35,714.18 = 8,005.68 : x
  2. Step 2: Convert to fraction form
    23,807.42/35,714.18 = 8,005.68/x
  3. Step 3: Cross multiply
    23,807.42x = 35,714.18 × 8,005.68
  4. Step 4: Simplify right side
    23,807.42x = 285,916,296.54
  5. Step 5: Solve for x
    x = 285,916,296.54/23,807.42
  6. Step 6: Final answer
    x = 12,009.55

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1.5x scale

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.