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Finding the Fourth Proportional to 13,098, 19,620.72 and 6,504.24

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Solution

The fourth proportional to 13,098, 19,620.72 and 6,504.24 is: 9,743.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098 : 19,620.72 = 6,504.24 : x
  2. Step 2: Convert to fraction form
    13,098/19,620.72 = 6,504.24/x
  3. Step 3: Cross multiply
    13,098x = 19,620.72 × 6,504.24
  4. Step 4: Simplify right side
    13,098x = 127,617,871.85
  5. Step 5: Solve for x
    x = 127,617,871.85/13,098
  6. Step 6: Final answer
    x = 9,743.31

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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.