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Finding the Fourth Proportional to 13,602.75, 18,772.14 and 7,634.88

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Solution

The fourth proportional to 13,602.75, 18,772.14 and 7,634.88 is: 10,536.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.75 : 18,772.14 = 7,634.88 : x
  2. Step 2: Convert to fraction form
    13,602.75/18,772.14 = 7,634.88/x
  3. Step 3: Cross multiply
    13,602.75x = 18,772.14 × 7,634.88
  4. Step 4: Simplify right side
    13,602.75x = 143,323,036.24
  5. Step 5: Solve for x
    x = 143,323,036.24/13,602.75
  6. Step 6: Final answer
    x = 10,536.33

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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.