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Finding the Fourth Proportional to 12,701.64, 17,522.44 and 8,226.83

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Solution

The fourth proportional to 12,701.64, 17,522.44 and 8,226.83 is: 11,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.64 : 17,522.44 = 8,226.83 : x
  2. Step 2: Convert to fraction form
    12,701.64/17,522.44 = 8,226.83/x
  3. Step 3: Cross multiply
    12,701.64x = 17,522.44 × 8,226.83
  4. Step 4: Simplify right side
    12,701.64x = 144,154,204.58
  5. Step 5: Solve for x
    x = 144,154,204.58/12,701.64
  6. Step 6: Final answer
    x = 11,349.26

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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.