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Finding the Fourth Proportional to 13,605.60, 18,775.68 and 7,637.36

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Solution

The fourth proportional to 13,605.60, 18,775.68 and 7,637.36 is: 10,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.60 : 18,775.68 = 7,637.36 : x
  2. Step 2: Convert to fraction form
    13,605.60/18,775.68 = 7,637.36/x
  3. Step 3: Cross multiply
    13,605.60x = 18,775.68 × 7,637.36
  4. Step 4: Simplify right side
    13,605.60x = 143,396,627.40
  5. Step 5: Solve for x
    x = 143,396,627.40/13,605.60
  6. Step 6: Final answer
    x = 10,539.53

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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.