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Finding the Fourth Proportional to 22,714.74, 34,069.32 and 6,076.08

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Solution

The fourth proportional to 22,714.74, 34,069.32 and 6,076.08 is: 9,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.74 : 34,069.32 = 6,076.08 : x
  2. Step 2: Convert to fraction form
    22,714.74/34,069.32 = 6,076.08/x
  3. Step 3: Cross multiply
    22,714.74x = 34,069.32 × 6,076.08
  4. Step 4: Simplify right side
    22,714.74x = 207,007,913.87
  5. Step 5: Solve for x
    x = 207,007,913.87/22,714.74
  6. Step 6: Final answer
    x = 9,113.37

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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.