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Finding the Fourth Proportional to 13,685.52, 20,513.91 and 7,755.03

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Solution

The fourth proportional to 13,685.52, 20,513.91 and 7,755.03 is: 11,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.52 : 20,513.91 = 7,755.03 : x
  2. Step 2: Convert to fraction form
    13,685.52/20,513.91 = 7,755.03/x
  3. Step 3: Cross multiply
    13,685.52x = 20,513.91 × 7,755.03
  4. Step 4: Simplify right side
    13,685.52x = 159,085,987.47
  5. Step 5: Solve for x
    x = 159,085,987.47/13,685.52
  6. Step 6: Final answer
    x = 11,624.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.