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Finding the Fourth Proportional to 14,311.81, 19,727.47 and 11,281.99

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Solution

The fourth proportional to 14,311.81, 19,727.47 and 11,281.99 is: 15,551.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.81 : 19,727.47 = 11,281.99 : x
  2. Step 2: Convert to fraction form
    14,311.81/19,727.47 = 11,281.99/x
  3. Step 3: Cross multiply
    14,311.81x = 19,727.47 × 11,281.99
  4. Step 4: Simplify right side
    14,311.81x = 222,565,084.05
  5. Step 5: Solve for x
    x = 222,565,084.05/14,311.81
  6. Step 6: Final answer
    x = 15,551.15

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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.