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Finding the Fourth Proportional to 19,606, 29,409 and 5,755

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Solution

The fourth proportional to 19,606, 29,409 and 5,755 is: 8,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606 : 29,409 = 5,755 : x
  2. Step 2: Convert to fraction form
    19,606/29,409 = 5,755/x
  3. Step 3: Cross multiply
    19,606x = 29,409 × 5,755
  4. Step 4: Simplify right side
    19,606x = 169,248,795
  5. Step 5: Solve for x
    x = 169,248,795/19,606
  6. Step 6: Final answer
    x = 8,632.50

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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.