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Finding the Fourth Proportional to 14,201.66, 21,288.06 and 5,886.20

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Solution

The fourth proportional to 14,201.66, 21,288.06 and 5,886.20 is: 8,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.66 : 21,288.06 = 5,886.20 : x
  2. Step 2: Convert to fraction form
    14,201.66/21,288.06 = 5,886.20/x
  3. Step 3: Cross multiply
    14,201.66x = 21,288.06 × 5,886.20
  4. Step 4: Simplify right side
    14,201.66x = 125,305,778.77
  5. Step 5: Solve for x
    x = 125,305,778.77/14,201.66
  6. Step 6: Final answer
    x = 8,823.32

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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.