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Finding the Fourth Proportional to 13,743.60, 18,965.93 and 7,775.12

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Solution

The fourth proportional to 13,743.60, 18,965.93 and 7,775.12 is: 10,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.60 : 18,965.93 = 7,775.12 : x
  2. Step 2: Convert to fraction form
    13,743.60/18,965.93 = 7,775.12/x
  3. Step 3: Cross multiply
    13,743.60x = 18,965.93 × 7,775.12
  4. Step 4: Simplify right side
    13,743.60x = 147,462,381.66
  5. Step 5: Solve for x
    x = 147,462,381.66/13,743.60
  6. Step 6: Final answer
    x = 10,729.53

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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.