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Finding the Fourth Proportional to 13,025.98, 17,968.38 and 8,237.12

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Solution

The fourth proportional to 13,025.98, 17,968.38 and 8,237.12 is: 11,362.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.98 : 17,968.38 = 8,237.12 : x
  2. Step 2: Convert to fraction form
    13,025.98/17,968.38 = 8,237.12/x
  3. Step 3: Cross multiply
    13,025.98x = 17,968.38 × 8,237.12
  4. Step 4: Simplify right side
    13,025.98x = 148,007,702.27
  5. Step 5: Solve for x
    x = 148,007,702.27/13,025.98
  6. Step 6: Final answer
    x = 11,362.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.