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Finding the Fourth Proportional to 20,692.65, 31,043.07 and 7,543.31

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Solution

The fourth proportional to 20,692.65, 31,043.07 and 7,543.31 is: 11,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.65 : 31,043.07 = 7,543.31 : x
  2. Step 2: Convert to fraction form
    20,692.65/31,043.07 = 7,543.31/x
  3. Step 3: Cross multiply
    20,692.65x = 31,043.07 × 7,543.31
  4. Step 4: Simplify right side
    20,692.65x = 234,167,345.15
  5. Step 5: Solve for x
    x = 234,167,345.15/20,692.65
  6. Step 6: Final answer
    x = 11,316.45

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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.