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Finding the Fourth Proportional to 13,605.25, 18,774.20 and 7,635.76

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Solution

The fourth proportional to 13,605.25, 18,774.20 and 7,635.76 is: 10,536.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.25 : 18,774.20 = 7,635.76 : x
  2. Step 2: Convert to fraction form
    13,605.25/18,774.20 = 7,635.76/x
  3. Step 3: Cross multiply
    13,605.25x = 18,774.20 × 7,635.76
  4. Step 4: Simplify right side
    13,605.25x = 143,355,323.11
  5. Step 5: Solve for x
    x = 143,355,323.11/13,605.25
  6. Step 6: Final answer
    x = 10,536.77

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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.