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Finding the Fourth Proportional to 13,194.18, 19,798.56 and 7,930.80

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Solution

The fourth proportional to 13,194.18, 19,798.56 and 7,930.80 is: 11,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,194.18 : 19,798.56 = 7,930.80 : x
  2. Step 2: Convert to fraction form
    13,194.18/19,798.56 = 7,930.80/x
  3. Step 3: Cross multiply
    13,194.18x = 19,798.56 × 7,930.80
  4. Step 4: Simplify right side
    13,194.18x = 157,018,419.65
  5. Step 5: Solve for x
    x = 157,018,419.65/13,194.18
  6. Step 6: Final answer
    x = 11,900.58

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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.