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Finding the Fourth Proportional to 13,773.94, 19,001.82 and 8,466.82

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Solution

The fourth proportional to 13,773.94, 19,001.82 and 8,466.82 is: 11,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.94 : 19,001.82 = 8,466.82 : x
  2. Step 2: Convert to fraction form
    13,773.94/19,001.82 = 8,466.82/x
  3. Step 3: Cross multiply
    13,773.94x = 19,001.82 × 8,466.82
  4. Step 4: Simplify right side
    13,773.94x = 160,884,989.61
  5. Step 5: Solve for x
    x = 160,884,989.61/13,773.94
  6. Step 6: Final answer
    x = 11,680.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.