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Finding the Fourth Proportional to 26,476, 36,554.02 and 16,415.16

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Solution

The fourth proportional to 26,476, 36,554.02 and 16,415.16 is: 22,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,476 : 36,554.02 = 16,415.16 : x
  2. Step 2: Convert to fraction form
    26,476/36,554.02 = 16,415.16/x
  3. Step 3: Cross multiply
    26,476x = 36,554.02 × 16,415.16
  4. Step 4: Simplify right side
    26,476x = 600,040,086.94
  5. Step 5: Solve for x
    x = 600,040,086.94/26,476
  6. Step 6: Final answer
    x = 22,663.55

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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.