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Finding the Fourth Proportional to 20,557.65, 30,817.94 and 7,400.82

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Solution

The fourth proportional to 20,557.65, 30,817.94 and 7,400.82 is: 11,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,557.65 : 30,817.94 = 7,400.82 : x
  2. Step 2: Convert to fraction form
    20,557.65/30,817.94 = 7,400.82/x
  3. Step 3: Cross multiply
    20,557.65x = 30,817.94 × 7,400.82
  4. Step 4: Simplify right side
    20,557.65x = 228,077,989.71
  5. Step 5: Solve for x
    x = 228,077,989.71/20,557.65
  6. Step 6: Final answer
    x = 11,094.56

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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.