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Finding the Fourth Proportional to 13,523.58, 18,661.17 and 7,780.89

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Solution

The fourth proportional to 13,523.58, 18,661.17 and 7,780.89 is: 10,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,523.58 : 18,661.17 = 7,780.89 : x
  2. Step 2: Convert to fraction form
    13,523.58/18,661.17 = 7,780.89/x
  3. Step 3: Cross multiply
    13,523.58x = 18,661.17 × 7,780.89
  4. Step 4: Simplify right side
    13,523.58x = 145,200,511.04
  5. Step 5: Solve for x
    x = 145,200,511.04/13,523.58
  6. Step 6: Final answer
    x = 10,736.84

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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.