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Finding the Fourth Proportional to 14,284.20, 19,712.19 and 7,823.79

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Solution

The fourth proportional to 14,284.20, 19,712.19 and 7,823.79 is: 10,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.20 : 19,712.19 = 7,823.79 : x
  2. Step 2: Convert to fraction form
    14,284.20/19,712.19 = 7,823.79/x
  3. Step 3: Cross multiply
    14,284.20x = 19,712.19 × 7,823.79
  4. Step 4: Simplify right side
    14,284.20x = 154,224,035.00
  5. Step 5: Solve for x
    x = 154,224,035.00/14,284.20
  6. Step 6: Final answer
    x = 10,796.83

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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.