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Finding the Fourth Proportional to 20,816.65, 31,221.96 and 7,666.03

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Solution

The fourth proportional to 20,816.65, 31,221.96 and 7,666.03 is: 11,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,816.65 : 31,221.96 = 7,666.03 : x
  2. Step 2: Convert to fraction form
    20,816.65/31,221.96 = 7,666.03/x
  3. Step 3: Cross multiply
    20,816.65x = 31,221.96 × 7,666.03
  4. Step 4: Simplify right side
    20,816.65x = 239,348,482.02
  5. Step 5: Solve for x
    x = 239,348,482.02/20,816.65
  6. Step 6: Final answer
    x = 11,497.93

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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.