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Finding the Fourth Proportional to 14,086.78, 19,442.64 and 9,622.87

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Solution

The fourth proportional to 14,086.78, 19,442.64 and 9,622.87 is: 13,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.78 : 19,442.64 = 9,622.87 : x
  2. Step 2: Convert to fraction form
    14,086.78/19,442.64 = 9,622.87/x
  3. Step 3: Cross multiply
    14,086.78x = 19,442.64 × 9,622.87
  4. Step 4: Simplify right side
    14,086.78x = 187,093,997.18
  5. Step 5: Solve for x
    x = 187,093,997.18/14,086.78
  6. Step 6: Final answer
    x = 13,281.53

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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.