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Finding the Fourth Proportional to 14,682.36, 20,251.98 and 9,083.64

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Solution

The fourth proportional to 14,682.36, 20,251.98 and 9,083.64 is: 12,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.36 : 20,251.98 = 9,083.64 : x
  2. Step 2: Convert to fraction form
    14,682.36/20,251.98 = 9,083.64/x
  3. Step 3: Cross multiply
    14,682.36x = 20,251.98 × 9,083.64
  4. Step 4: Simplify right side
    14,682.36x = 183,961,695.61
  5. Step 5: Solve for x
    x = 183,961,695.61/14,682.36
  6. Step 6: Final answer
    x = 12,529.44

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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.