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Finding the Fourth Proportional to 23,142.68, 34,714.14 and 5,612.51

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Solution

The fourth proportional to 23,142.68, 34,714.14 and 5,612.51 is: 8,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.68 : 34,714.14 = 5,612.51 : x
  2. Step 2: Convert to fraction form
    23,142.68/34,714.14 = 5,612.51/x
  3. Step 3: Cross multiply
    23,142.68x = 34,714.14 × 5,612.51
  4. Step 4: Simplify right side
    23,142.68x = 194,833,284.32
  5. Step 5: Solve for x
    x = 194,833,284.32/23,142.68
  6. Step 6: Final answer
    x = 8,418.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.