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Finding the Fourth Proportional to 19,741, 29,611.50 and 6,590.38

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Solution

The fourth proportional to 19,741, 29,611.50 and 6,590.38 is: 9,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,741 : 29,611.50 = 6,590.38 : x
  2. Step 2: Convert to fraction form
    19,741/29,611.50 = 6,590.38/x
  3. Step 3: Cross multiply
    19,741x = 29,611.50 × 6,590.38
  4. Step 4: Simplify right side
    19,741x = 195,151,037.37
  5. Step 5: Solve for x
    x = 195,151,037.37/19,741
  6. Step 6: Final answer
    x = 9,885.57

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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.