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Finding the Fourth Proportional to 19,662.69, 27,144.24 and 13,407.87

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Solution

The fourth proportional to 19,662.69, 27,144.24 and 13,407.87 is: 18,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.69 : 27,144.24 = 13,407.87 : x
  2. Step 2: Convert to fraction form
    19,662.69/27,144.24 = 13,407.87/x
  3. Step 3: Cross multiply
    19,662.69x = 27,144.24 × 13,407.87
  4. Step 4: Simplify right side
    19,662.69x = 363,946,441.17
  5. Step 5: Solve for x
    x = 363,946,441.17/19,662.69
  6. Step 6: Final answer
    x = 18,509.49

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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.