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Finding the Fourth Proportional to 13,214.76, 18,235.78 and 7,912.50

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Solution

The fourth proportional to 13,214.76, 18,235.78 and 7,912.50 is: 10,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.76 : 18,235.78 = 7,912.50 : x
  2. Step 2: Convert to fraction form
    13,214.76/18,235.78 = 7,912.50/x
  3. Step 3: Cross multiply
    13,214.76x = 18,235.78 × 7,912.50
  4. Step 4: Simplify right side
    13,214.76x = 144,290,609.25
  5. Step 5: Solve for x
    x = 144,290,609.25/13,214.76
  6. Step 6: Final answer
    x = 10,918.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.