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Finding the Fourth Proportional to 21,230.02, 31,849.53 and 7,189.37

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Solution

The fourth proportional to 21,230.02, 31,849.53 and 7,189.37 is: 10,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,230.02 : 31,849.53 = 7,189.37 : x
  2. Step 2: Convert to fraction form
    21,230.02/31,849.53 = 7,189.37/x
  3. Step 3: Cross multiply
    21,230.02x = 31,849.53 × 7,189.37
  4. Step 4: Simplify right side
    21,230.02x = 228,978,055.50
  5. Step 5: Solve for x
    x = 228,978,055.50/21,230.02
  6. Step 6: Final answer
    x = 10,785.58

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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.