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Finding the Fourth Proportional to 14,494.51, 19,997.89 and 8,120.24

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Solution

The fourth proportional to 14,494.51, 19,997.89 and 8,120.24 is: 11,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.51 : 19,997.89 = 8,120.24 : x
  2. Step 2: Convert to fraction form
    14,494.51/19,997.89 = 8,120.24/x
  3. Step 3: Cross multiply
    14,494.51x = 19,997.89 × 8,120.24
  4. Step 4: Simplify right side
    14,494.51x = 162,387,695.99
  5. Step 5: Solve for x
    x = 162,387,695.99/14,494.51
  6. Step 6: Final answer
    x = 11,203.40

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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.