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Finding the Fourth Proportional to 14,719.97, 20,314.02 and 8,346.83

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Solution

The fourth proportional to 14,719.97, 20,314.02 and 8,346.83 is: 11,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.97 : 20,314.02 = 8,346.83 : x
  2. Step 2: Convert to fraction form
    14,719.97/20,314.02 = 8,346.83/x
  3. Step 3: Cross multiply
    14,719.97x = 20,314.02 × 8,346.83
  4. Step 4: Simplify right side
    14,719.97x = 169,557,602.28
  5. Step 5: Solve for x
    x = 169,557,602.28/14,719.97
  6. Step 6: Final answer
    x = 11,518.88

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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.