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Finding the Fourth Proportional to 26,143.30, 36,077.80 and 14,206.78

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Solution

The fourth proportional to 26,143.30, 36,077.80 and 14,206.78 is: 19,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143.30 : 36,077.80 = 14,206.78 : x
  2. Step 2: Convert to fraction form
    26,143.30/36,077.80 = 14,206.78/x
  3. Step 3: Cross multiply
    26,143.30x = 36,077.80 × 14,206.78
  4. Step 4: Simplify right side
    26,143.30x = 512,549,367.48
  5. Step 5: Solve for x
    x = 512,549,367.48/26,143.30
  6. Step 6: Final answer
    x = 19,605.38

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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.