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Finding the Fourth Proportional to 12,402.76, 17,116.50 and 7,096.36

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Solution

The fourth proportional to 12,402.76, 17,116.50 and 7,096.36 is: 9,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.76 : 17,116.50 = 7,096.36 : x
  2. Step 2: Convert to fraction form
    12,402.76/17,116.50 = 7,096.36/x
  3. Step 3: Cross multiply
    12,402.76x = 17,116.50 × 7,096.36
  4. Step 4: Simplify right side
    12,402.76x = 121,464,845.94
  5. Step 5: Solve for x
    x = 121,464,845.94/12,402.76
  6. Step 6: Final answer
    x = 9,793.37

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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.