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Finding the Fourth Proportional to 14,853.83, 20,498.31 and 8,139.32

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Solution

The fourth proportional to 14,853.83, 20,498.31 and 8,139.32 is: 11,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.83 : 20,498.31 = 8,139.32 : x
  2. Step 2: Convert to fraction form
    14,853.83/20,498.31 = 8,139.32/x
  3. Step 3: Cross multiply
    14,853.83x = 20,498.31 × 8,139.32
  4. Step 4: Simplify right side
    14,853.83x = 166,842,202.06
  5. Step 5: Solve for x
    x = 166,842,202.06/14,853.83
  6. Step 6: Final answer
    x = 11,232.27

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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.