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Finding the Fourth Proportional to 14,490.86, 19,997.73 and 8,117.66

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Solution

The fourth proportional to 14,490.86, 19,997.73 and 8,117.66 is: 11,202.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.86 : 19,997.73 = 8,117.66 : x
  2. Step 2: Convert to fraction form
    14,490.86/19,997.73 = 8,117.66/x
  3. Step 3: Cross multiply
    14,490.86x = 19,997.73 × 8,117.66
  4. Step 4: Simplify right side
    14,490.86x = 162,334,822.91
  5. Step 5: Solve for x
    x = 162,334,822.91/14,490.86
  6. Step 6: Final answer
    x = 11,202.57

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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.