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Finding the Fourth Proportional to 14,137.83, 19,513.71 and 8,173.22

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Solution

The fourth proportional to 14,137.83, 19,513.71 and 8,173.22 is: 11,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.83 : 19,513.71 = 8,173.22 : x
  2. Step 2: Convert to fraction form
    14,137.83/19,513.71 = 8,173.22/x
  3. Step 3: Cross multiply
    14,137.83x = 19,513.71 × 8,173.22
  4. Step 4: Simplify right side
    14,137.83x = 159,489,747.28
  5. Step 5: Solve for x
    x = 159,489,747.28/14,137.83
  6. Step 6: Final answer
    x = 11,281.06

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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.