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Finding the Fourth Proportional to 14,544.84, 20,071.62 and 8,257.08

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Solution

The fourth proportional to 14,544.84, 20,071.62 and 8,257.08 is: 11,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,544.84 : 20,071.62 = 8,257.08 : x
  2. Step 2: Convert to fraction form
    14,544.84/20,071.62 = 8,257.08/x
  3. Step 3: Cross multiply
    14,544.84x = 20,071.62 × 8,257.08
  4. Step 4: Simplify right side
    14,544.84x = 165,732,972.07
  5. Step 5: Solve for x
    x = 165,732,972.07/14,544.84
  6. Step 6: Final answer
    x = 11,394.62

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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.