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Finding the Fourth Proportional to 26,797.62, 36,978.05 and 15,470.77

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Solution

The fourth proportional to 26,797.62, 36,978.05 and 15,470.77 is: 21,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,797.62 : 36,978.05 = 15,470.77 : x
  2. Step 2: Convert to fraction form
    26,797.62/36,978.05 = 15,470.77/x
  3. Step 3: Cross multiply
    26,797.62x = 36,978.05 × 15,470.77
  4. Step 4: Simplify right side
    26,797.62x = 572,078,829.24
  5. Step 5: Solve for x
    x = 572,078,829.24/26,797.62
  6. Step 6: Final answer
    x = 21,348.12

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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.