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Finding the Fourth Proportional to 26,601.64, 36,710.49 and 14,665.40

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Solution

The fourth proportional to 26,601.64, 36,710.49 and 14,665.40 is: 20,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,601.64 : 36,710.49 = 14,665.40 : x
  2. Step 2: Convert to fraction form
    26,601.64/36,710.49 = 14,665.40/x
  3. Step 3: Cross multiply
    26,601.64x = 36,710.49 × 14,665.40
  4. Step 4: Simplify right side
    26,601.64x = 538,374,029.15
  5. Step 5: Solve for x
    x = 538,374,029.15/26,601.64
  6. Step 6: Final answer
    x = 20,238.38

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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.