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Finding the Fourth Proportional to 13,605.90, 18,774.85 and 7,636.40

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Solution

The fourth proportional to 13,605.90, 18,774.85 and 7,636.40 is: 10,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.90 : 18,774.85 = 7,636.40 : x
  2. Step 2: Convert to fraction form
    13,605.90/18,774.85 = 7,636.40/x
  3. Step 3: Cross multiply
    13,605.90x = 18,774.85 × 7,636.40
  4. Step 4: Simplify right side
    13,605.90x = 143,372,226.36
  5. Step 5: Solve for x
    x = 143,372,226.36/13,605.90
  6. Step 6: Final answer
    x = 10,537.51

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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.