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Finding the Fourth Proportional to 14,202.27, 21,307.83 and 5,886.20

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Solution

The fourth proportional to 14,202.27, 21,307.83 and 5,886.20 is: 8,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.27 : 21,307.83 = 5,886.20 : x
  2. Step 2: Convert to fraction form
    14,202.27/21,307.83 = 5,886.20/x
  3. Step 3: Cross multiply
    14,202.27x = 21,307.83 × 5,886.20
  4. Step 4: Simplify right side
    14,202.27x = 125,422,180.14
  5. Step 5: Solve for x
    x = 125,422,180.14/14,202.27
  6. Step 6: Final answer
    x = 8,831.14

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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.