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Finding the Fourth Proportional to 12,997.42, 19,499 and 6,068.14

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Solution

The fourth proportional to 12,997.42, 19,499 and 6,068.14 is: 9,103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.42 : 19,499 = 6,068.14 : x
  2. Step 2: Convert to fraction form
    12,997.42/19,499 = 6,068.14/x
  3. Step 3: Cross multiply
    12,997.42x = 19,499 × 6,068.14
  4. Step 4: Simplify right side
    12,997.42x = 118,322,661.86
  5. Step 5: Solve for x
    x = 118,322,661.86/12,997.42
  6. Step 6: Final answer
    x = 9,103.55

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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.