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Finding the Fourth Proportional to 14,314.81, 21,475.39 and 5,881.30

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Solution

The fourth proportional to 14,314.81, 21,475.39 and 5,881.30 is: 8,823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.81 : 21,475.39 = 5,881.30 : x
  2. Step 2: Convert to fraction form
    14,314.81/21,475.39 = 5,881.30/x
  3. Step 3: Cross multiply
    14,314.81x = 21,475.39 × 5,881.30
  4. Step 4: Simplify right side
    14,314.81x = 126,303,103.83
  5. Step 5: Solve for x
    x = 126,303,103.83/14,314.81
  6. Step 6: Final answer
    x = 8,823.25

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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.