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Finding the Fourth Proportional to 13,510.26, 18,649.98 and 8,206.92

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Solution

The fourth proportional to 13,510.26, 18,649.98 and 8,206.92 is: 11,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.26 : 18,649.98 = 8,206.92 : x
  2. Step 2: Convert to fraction form
    13,510.26/18,649.98 = 8,206.92/x
  3. Step 3: Cross multiply
    13,510.26x = 18,649.98 × 8,206.92
  4. Step 4: Simplify right side
    13,510.26x = 153,058,893.86
  5. Step 5: Solve for x
    x = 153,058,893.86/13,510.26
  6. Step 6: Final answer
    x = 11,329.09

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