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Finding the Fourth Proportional to 21,807.72, 32,714.52 and 7,771.20

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Solution

The fourth proportional to 21,807.72, 32,714.52 and 7,771.20 is: 11,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,807.72 : 32,714.52 = 7,771.20 : x
  2. Step 2: Convert to fraction form
    21,807.72/32,714.52 = 7,771.20/x
  3. Step 3: Cross multiply
    21,807.72x = 32,714.52 × 7,771.20
  4. Step 4: Simplify right side
    21,807.72x = 254,231,077.82
  5. Step 5: Solve for x
    x = 254,231,077.82/21,807.72
  6. Step 6: Final answer
    x = 11,657.85

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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.