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Finding the Fourth Proportional to 20,681.67, 31,023.09 and 7,543.86

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Solution

The fourth proportional to 20,681.67, 31,023.09 and 7,543.86 is: 11,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,681.67 : 31,023.09 = 7,543.86 : x
  2. Step 2: Convert to fraction form
    20,681.67/31,023.09 = 7,543.86/x
  3. Step 3: Cross multiply
    20,681.67x = 31,023.09 × 7,543.86
  4. Step 4: Simplify right side
    20,681.67x = 234,033,847.73
  5. Step 5: Solve for x
    x = 234,033,847.73/20,681.67
  6. Step 6: Final answer
    x = 11,316.00

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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.