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Finding the Fourth Proportional to 12,402.76, 17,115.82 and 6,813.76

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Solution

The fourth proportional to 12,402.76, 17,115.82 and 6,813.76 is: 9,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.76 : 17,115.82 = 6,813.76 : x
  2. Step 2: Convert to fraction form
    12,402.76/17,115.82 = 6,813.76/x
  3. Step 3: Cross multiply
    12,402.76x = 17,115.82 × 6,813.76
  4. Step 4: Simplify right side
    12,402.76x = 116,623,089.68
  5. Step 5: Solve for x
    x = 116,623,089.68/12,402.76
  6. Step 6: Final answer
    x = 9,402.99

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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.