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Finding the Fourth Proportional to 13,101.98, 19,640.61 and 6,521.94

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Solution

The fourth proportional to 13,101.98, 19,640.61 and 6,521.94 is: 9,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.98 : 19,640.61 = 6,521.94 : x
  2. Step 2: Convert to fraction form
    13,101.98/19,640.61 = 6,521.94/x
  3. Step 3: Cross multiply
    13,101.98x = 19,640.61 × 6,521.94
  4. Step 4: Simplify right side
    13,101.98x = 128,094,879.98
  5. Step 5: Solve for x
    x = 128,094,879.98/13,101.98
  6. Step 6: Final answer
    x = 9,776.76

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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.