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Finding the Fourth Proportional to 22,509.54, 33,764.27 and 6,714.15

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Solution

The fourth proportional to 22,509.54, 33,764.27 and 6,714.15 is: 10,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.54 : 33,764.27 = 6,714.15 : x
  2. Step 2: Convert to fraction form
    22,509.54/33,764.27 = 6,714.15/x
  3. Step 3: Cross multiply
    22,509.54x = 33,764.27 × 6,714.15
  4. Step 4: Simplify right side
    22,509.54x = 226,698,339.85
  5. Step 5: Solve for x
    x = 226,698,339.85/22,509.54
  6. Step 6: Final answer
    x = 10,071.21

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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.