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Finding the Fourth Proportional to 19,658.93, 27,138.51 and 12,589.38

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Solution

The fourth proportional to 19,658.93, 27,138.51 and 12,589.38 is: 17,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.93 : 27,138.51 = 12,589.38 : x
  2. Step 2: Convert to fraction form
    19,658.93/27,138.51 = 12,589.38/x
  3. Step 3: Cross multiply
    19,658.93x = 27,138.51 × 12,589.38
  4. Step 4: Simplify right side
    19,658.93x = 341,657,015.02
  5. Step 5: Solve for x
    x = 341,657,015.02/19,658.93
  6. Step 6: Final answer
    x = 17,379.23

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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.