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Finding the Fourth Proportional to 12,402.76, 17,115.84 and 7,296.96

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Solution

The fourth proportional to 12,402.76, 17,115.84 and 7,296.96 is: 10,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.76 : 17,115.84 = 7,296.96 : x
  2. Step 2: Convert to fraction form
    12,402.76/17,115.84 = 7,296.96/x
  3. Step 3: Cross multiply
    12,402.76x = 17,115.84 × 7,296.96
  4. Step 4: Simplify right side
    12,402.76x = 124,893,599.85
  5. Step 5: Solve for x
    x = 124,893,599.85/12,402.76
  6. Step 6: Final answer
    x = 10,069.82

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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.