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Finding the Fourth Proportional to 13,861.98, 19,130.31 and 9,142.92

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Solution

The fourth proportional to 13,861.98, 19,130.31 and 9,142.92 is: 12,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.98 : 19,130.31 = 9,142.92 : x
  2. Step 2: Convert to fraction form
    13,861.98/19,130.31 = 9,142.92/x
  3. Step 3: Cross multiply
    13,861.98x = 19,130.31 × 9,142.92
  4. Step 4: Simplify right side
    13,861.98x = 174,906,893.91
  5. Step 5: Solve for x
    x = 174,906,893.91/13,861.98
  6. Step 6: Final answer
    x = 12,617.74

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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.