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Finding the Fourth Proportional to 14,033.06, 21,038.49 and 5,267

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Solution

The fourth proportional to 14,033.06, 21,038.49 and 5,267 is: 7,896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033.06 : 21,038.49 = 5,267 : x
  2. Step 2: Convert to fraction form
    14,033.06/21,038.49 = 5,267/x
  3. Step 3: Cross multiply
    14,033.06x = 21,038.49 × 5,267
  4. Step 4: Simplify right side
    14,033.06x = 110,809,726.83
  5. Step 5: Solve for x
    x = 110,809,726.83/14,033.06
  6. Step 6: Final answer
    x = 7,896.33

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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.