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Finding the Fourth Proportional to 13,906.64, 19,208.02 and 10,123.82

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Solution

The fourth proportional to 13,906.64, 19,208.02 and 10,123.82 is: 13,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.64 : 19,208.02 = 10,123.82 : x
  2. Step 2: Convert to fraction form
    13,906.64/19,208.02 = 10,123.82/x
  3. Step 3: Cross multiply
    13,906.64x = 19,208.02 × 10,123.82
  4. Step 4: Simplify right side
    13,906.64x = 194,458,537.04
  5. Step 5: Solve for x
    x = 194,458,537.04/13,906.64
  6. Step 6: Final answer
    x = 13,983.14

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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.