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Finding the Fourth Proportional to 13,651.02, 18,838.44 and 7,682.76

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Solution

The fourth proportional to 13,651.02, 18,838.44 and 7,682.76 is: 10,602.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,651.02 : 18,838.44 = 7,682.76 : x
  2. Step 2: Convert to fraction form
    13,651.02/18,838.44 = 7,682.76/x
  3. Step 3: Cross multiply
    13,651.02x = 18,838.44 × 7,682.76
  4. Step 4: Simplify right side
    13,651.02x = 144,731,213.29
  5. Step 5: Solve for x
    x = 144,731,213.29/13,651.02
  6. Step 6: Final answer
    x = 10,602.23

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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.