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Finding the Fourth Proportional to 14,517.84, 21,778.93 and 5,157.08

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Solution

The fourth proportional to 14,517.84, 21,778.93 and 5,157.08 is: 7,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,517.84 : 21,778.93 = 5,157.08 : x
  2. Step 2: Convert to fraction form
    14,517.84/21,778.93 = 5,157.08/x
  3. Step 3: Cross multiply
    14,517.84x = 21,778.93 × 5,157.08
  4. Step 4: Simplify right side
    14,517.84x = 112,315,663.55
  5. Step 5: Solve for x
    x = 112,315,663.55/14,517.84
  6. Step 6: Final answer
    x = 7,736.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.