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Finding the Fourth Proportional to 20,817.15, 31,222.71 and 7,666.53

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Solution

The fourth proportional to 20,817.15, 31,222.71 and 7,666.53 is: 11,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817.15 : 31,222.71 = 7,666.53 : x
  2. Step 2: Convert to fraction form
    20,817.15/31,222.71 = 7,666.53/x
  3. Step 3: Cross multiply
    20,817.15x = 31,222.71 × 7,666.53
  4. Step 4: Simplify right side
    20,817.15x = 239,369,842.90
  5. Step 5: Solve for x
    x = 239,369,842.90/20,817.15
  6. Step 6: Final answer
    x = 11,498.68

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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.