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Finding the Fourth Proportional to 12,817.46, 19,214.78 and 6,897.57

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Solution

The fourth proportional to 12,817.46, 19,214.78 and 6,897.57 is: 10,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.46 : 19,214.78 = 6,897.57 : x
  2. Step 2: Convert to fraction form
    12,817.46/19,214.78 = 6,897.57/x
  3. Step 3: Cross multiply
    12,817.46x = 19,214.78 × 6,897.57
  4. Step 4: Simplify right side
    12,817.46x = 132,535,255.60
  5. Step 5: Solve for x
    x = 132,535,255.60/12,817.46
  6. Step 6: Final answer
    x = 10,340.22

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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.