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Finding the Fourth Proportional to 21,794.64, 32,697.60 and 7,005.64

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Solution

The fourth proportional to 21,794.64, 32,697.60 and 7,005.64 is: 10,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794.64 : 32,697.60 = 7,005.64 : x
  2. Step 2: Convert to fraction form
    21,794.64/32,697.60 = 7,005.64/x
  3. Step 3: Cross multiply
    21,794.64x = 32,697.60 × 7,005.64
  4. Step 4: Simplify right side
    21,794.64x = 229,067,614.46
  5. Step 5: Solve for x
    x = 229,067,614.46/21,794.64
  6. Step 6: Final answer
    x = 10,510.27

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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.