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Finding the Fourth Proportional to 21,942.96, 32,918.88 and 7,152

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Solution

The fourth proportional to 21,942.96, 32,918.88 and 7,152 is: 10,729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.96 : 32,918.88 = 7,152 : x
  2. Step 2: Convert to fraction form
    21,942.96/32,918.88 = 7,152/x
  3. Step 3: Cross multiply
    21,942.96x = 32,918.88 × 7,152
  4. Step 4: Simplify right side
    21,942.96x = 235,435,829.76
  5. Step 5: Solve for x
    x = 235,435,829.76/21,942.96
  6. Step 6: Final answer
    x = 10,729.45

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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.