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Finding the Fourth Proportional to 19,142.49, 26,429.49 and 14,658.23

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Solution

The fourth proportional to 19,142.49, 26,429.49 and 14,658.23 is: 20,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.49 : 26,429.49 = 14,658.23 : x
  2. Step 2: Convert to fraction form
    19,142.49/26,429.49 = 14,658.23/x
  3. Step 3: Cross multiply
    19,142.49x = 26,429.49 × 14,658.23
  4. Step 4: Simplify right side
    19,142.49x = 387,409,609.28
  5. Step 5: Solve for x
    x = 387,409,609.28/19,142.49
  6. Step 6: Final answer
    x = 20,238.20

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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.