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Finding the Fourth Proportional to 13,721.78, 18,935.76 and 9,005.78

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Solution

The fourth proportional to 13,721.78, 18,935.76 and 9,005.78 is: 12,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.78 : 18,935.76 = 9,005.78 : x
  2. Step 2: Convert to fraction form
    13,721.78/18,935.76 = 9,005.78/x
  3. Step 3: Cross multiply
    13,721.78x = 18,935.76 × 9,005.78
  4. Step 4: Simplify right side
    13,721.78x = 170,531,288.69
  5. Step 5: Solve for x
    x = 170,531,288.69/13,721.78
  6. Step 6: Final answer
    x = 12,427.78

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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.