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Finding the Fourth Proportional to 20,888.33, 31,334.31 and 7,740.81

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Solution

The fourth proportional to 20,888.33, 31,334.31 and 7,740.81 is: 11,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,888.33 : 31,334.31 = 7,740.81 : x
  2. Step 2: Convert to fraction form
    20,888.33/31,334.31 = 7,740.81/x
  3. Step 3: Cross multiply
    20,888.33x = 31,334.31 × 7,740.81
  4. Step 4: Simplify right side
    20,888.33x = 242,552,940.19
  5. Step 5: Solve for x
    x = 242,552,940.19/20,888.33
  6. Step 6: Final answer
    x = 11,611.89

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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.