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Finding the Fourth Proportional to 19,142.49, 28,603.92 and 14,614.49

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Solution

The fourth proportional to 19,142.49, 28,603.92 and 14,614.49 is: 21,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.49 : 28,603.92 = 14,614.49 : x
  2. Step 2: Convert to fraction form
    19,142.49/28,603.92 = 14,614.49/x
  3. Step 3: Cross multiply
    19,142.49x = 28,603.92 × 14,614.49
  4. Step 4: Simplify right side
    19,142.49x = 418,031,702.80
  5. Step 5: Solve for x
    x = 418,031,702.80/19,142.49
  6. Step 6: Final answer
    x = 21,837.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.