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Finding the Fourth Proportional to 19,663.69, 27,145.62 and 13,408.87

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Solution

The fourth proportional to 19,663.69, 27,145.62 and 13,408.87 is: 18,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,663.69 : 27,145.62 = 13,408.87 : x
  2. Step 2: Convert to fraction form
    19,663.69/27,145.62 = 13,408.87/x
  3. Step 3: Cross multiply
    19,663.69x = 27,145.62 × 13,408.87
  4. Step 4: Simplify right side
    19,663.69x = 363,992,089.65
  5. Step 5: Solve for x
    x = 363,992,089.65/19,663.69
  6. Step 6: Final answer
    x = 18,510.87

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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.