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Finding the Fourth Proportional to 20,900.34, 31,350.60 and 7,749.18

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Solution

The fourth proportional to 20,900.34, 31,350.60 and 7,749.18 is: 11,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.34 : 31,350.60 = 7,749.18 : x
  2. Step 2: Convert to fraction form
    20,900.34/31,350.60 = 7,749.18/x
  3. Step 3: Cross multiply
    20,900.34x = 31,350.60 × 7,749.18
  4. Step 4: Simplify right side
    20,900.34x = 242,941,442.51
  5. Step 5: Solve for x
    x = 242,941,442.51/20,900.34
  6. Step 6: Final answer
    x = 11,623.80

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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.