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Finding the Fourth Proportional to 13,402.05, 18,492.06 and 7,736.70

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Solution

The fourth proportional to 13,402.05, 18,492.06 and 7,736.70 is: 10,675.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.05 : 18,492.06 = 7,736.70 : x
  2. Step 2: Convert to fraction form
    13,402.05/18,492.06 = 7,736.70/x
  3. Step 3: Cross multiply
    13,402.05x = 18,492.06 × 7,736.70
  4. Step 4: Simplify right side
    13,402.05x = 143,067,520.60
  5. Step 5: Solve for x
    x = 143,067,520.60/13,402.05
  6. Step 6: Final answer
    x = 10,675.05

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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.