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Finding the Fourth Proportional to 12,817.86, 17,688.78 and 7,153.14

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Solution

The fourth proportional to 12,817.86, 17,688.78 and 7,153.14 is: 9,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.86 : 17,688.78 = 7,153.14 : x
  2. Step 2: Convert to fraction form
    12,817.86/17,688.78 = 7,153.14/x
  3. Step 3: Cross multiply
    12,817.86x = 17,688.78 × 7,153.14
  4. Step 4: Simplify right side
    12,817.86x = 126,530,319.77
  5. Step 5: Solve for x
    x = 126,530,319.77/12,817.86
  6. Step 6: Final answer
    x = 9,871.41

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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.