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Finding the Fourth Proportional to 26,618, 36,747.24 and 16,010

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Solution

The fourth proportional to 26,618, 36,747.24 and 16,010 is: 22,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,618 : 36,747.24 = 16,010 : x
  2. Step 2: Convert to fraction form
    26,618/36,747.24 = 16,010/x
  3. Step 3: Cross multiply
    26,618x = 36,747.24 × 16,010
  4. Step 4: Simplify right side
    26,618x = 588,323,312.40
  5. Step 5: Solve for x
    x = 588,323,312.40/26,618
  6. Step 6: Final answer
    x = 22,102.46

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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.