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Finding the Fourth Proportional to 13,084.83, 19,605.69 and 7,542.86

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Solution

The fourth proportional to 13,084.83, 19,605.69 and 7,542.86 is: 11,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084.83 : 19,605.69 = 7,542.86 : x
  2. Step 2: Convert to fraction form
    13,084.83/19,605.69 = 7,542.86/x
  3. Step 3: Cross multiply
    13,084.83x = 19,605.69 × 7,542.86
  4. Step 4: Simplify right side
    13,084.83x = 147,882,876.84
  5. Step 5: Solve for x
    x = 147,882,876.84/13,084.83
  6. Step 6: Final answer
    x = 11,301.86

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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.