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Finding the Fourth Proportional to 13,409.35, 18,507.59 and 7,745.02

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Solution

The fourth proportional to 13,409.35, 18,507.59 and 7,745.02 is: 10,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.35 : 18,507.59 = 7,745.02 : x
  2. Step 2: Convert to fraction form
    13,409.35/18,507.59 = 7,745.02/x
  3. Step 3: Cross multiply
    13,409.35x = 18,507.59 × 7,745.02
  4. Step 4: Simplify right side
    13,409.35x = 143,341,654.70
  5. Step 5: Solve for x
    x = 143,341,654.70/13,409.35
  6. Step 6: Final answer
    x = 10,689.68

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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.