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Finding the Fourth Proportional to 22,714.64, 34,069.57 and 6,076.36

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Solution

The fourth proportional to 22,714.64, 34,069.57 and 6,076.36 is: 9,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.64 : 34,069.57 = 6,076.36 : x
  2. Step 2: Convert to fraction form
    22,714.64/34,069.57 = 6,076.36/x
  3. Step 3: Cross multiply
    22,714.64x = 34,069.57 × 6,076.36
  4. Step 4: Simplify right side
    22,714.64x = 207,018,786.83
  5. Step 5: Solve for x
    x = 207,018,786.83/22,714.64
  6. Step 6: Final answer
    x = 9,113.89

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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.