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Finding the Fourth Proportional to 21,800.24, 32,697.24 and 7,007.24

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Solution

The fourth proportional to 21,800.24, 32,697.24 and 7,007.24 is: 10,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800.24 : 32,697.24 = 7,007.24 : x
  2. Step 2: Convert to fraction form
    21,800.24/32,697.24 = 7,007.24/x
  3. Step 3: Cross multiply
    21,800.24x = 32,697.24 × 7,007.24
  4. Step 4: Simplify right side
    21,800.24x = 229,117,244.53
  5. Step 5: Solve for x
    x = 229,117,244.53/21,800.24
  6. Step 6: Final answer
    x = 10,509.85

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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.