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Finding the Fourth Proportional to 12,277.90, 18,416.98 and 6,728.22

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Solution

The fourth proportional to 12,277.90, 18,416.98 and 6,728.22 is: 10,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.90 : 18,416.98 = 6,728.22 : x
  2. Step 2: Convert to fraction form
    12,277.90/18,416.98 = 6,728.22/x
  3. Step 3: Cross multiply
    12,277.90x = 18,416.98 × 6,728.22
  4. Step 4: Simplify right side
    12,277.90x = 123,913,459.53
  5. Step 5: Solve for x
    x = 123,913,459.53/12,277.90
  6. Step 6: Final answer
    x = 10,092.40

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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.