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Finding the Fourth Proportional to 19,441, 29,186 and 16,537.76

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Solution

The fourth proportional to 19,441, 29,186 and 16,537.76 is: 24,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,441 : 29,186 = 16,537.76 : x
  2. Step 2: Convert to fraction form
    19,441/29,186 = 16,537.76/x
  3. Step 3: Cross multiply
    19,441x = 29,186 × 16,537.76
  4. Step 4: Simplify right side
    19,441x = 482,671,063.36
  5. Step 5: Solve for x
    x = 482,671,063.36/19,441
  6. Step 6: Final answer
    x = 24,827.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.