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Finding the Fourth Proportional to 21,957.50, 32,936.75 and 7,918.67

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Solution

The fourth proportional to 21,957.50, 32,936.75 and 7,918.67 is: 11,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.50 : 32,936.75 = 7,918.67 : x
  2. Step 2: Convert to fraction form
    21,957.50/32,936.75 = 7,918.67/x
  3. Step 3: Cross multiply
    21,957.50x = 32,936.75 × 7,918.67
  4. Step 4: Simplify right side
    21,957.50x = 260,815,254.12
  5. Step 5: Solve for x
    x = 260,815,254.12/21,957.50
  6. Step 6: Final answer
    x = 11,878.19

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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.