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Finding the Fourth Proportional to 19,832, 29,759.52 and 8,888

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Solution

The fourth proportional to 19,832, 29,759.52 and 8,888 is: 13,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832 : 29,759.52 = 8,888 : x
  2. Step 2: Convert to fraction form
    19,832/29,759.52 = 8,888/x
  3. Step 3: Cross multiply
    19,832x = 29,759.52 × 8,888
  4. Step 4: Simplify right side
    19,832x = 264,502,613.76
  5. Step 5: Solve for x
    x = 264,502,613.76/19,832
  6. Step 6: Final answer
    x = 13,337.16

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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.