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Finding the Fourth Proportional to 13,196.69, 18,206.36 and 7,531.75

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Solution

The fourth proportional to 13,196.69, 18,206.36 and 7,531.75 is: 10,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,196.69 : 18,206.36 = 7,531.75 : x
  2. Step 2: Convert to fraction form
    13,196.69/18,206.36 = 7,531.75/x
  3. Step 3: Cross multiply
    13,196.69x = 18,206.36 × 7,531.75
  4. Step 4: Simplify right side
    13,196.69x = 137,125,697.00
  5. Step 5: Solve for x
    x = 137,125,697.00/13,196.69
  6. Step 6: Final answer
    x = 10,390.92

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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.