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Finding the Fourth Proportional to 14,557.12, 20,086.80 and 8,182.83

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Solution

The fourth proportional to 14,557.12, 20,086.80 and 8,182.83 is: 11,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.12 : 20,086.80 = 8,182.83 : x
  2. Step 2: Convert to fraction form
    14,557.12/20,086.80 = 8,182.83/x
  3. Step 3: Cross multiply
    14,557.12x = 20,086.80 × 8,182.83
  4. Step 4: Simplify right side
    14,557.12x = 164,366,869.64
  5. Step 5: Solve for x
    x = 164,366,869.64/14,557.12
  6. Step 6: Final answer
    x = 11,291.17

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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.