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Finding the Fourth Proportional to 19,961.01, 29,941.65 and 9,541.17

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Solution

The fourth proportional to 19,961.01, 29,941.65 and 9,541.17 is: 14,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,961.01 : 29,941.65 = 9,541.17 : x
  2. Step 2: Convert to fraction form
    19,961.01/29,941.65 = 9,541.17/x
  3. Step 3: Cross multiply
    19,961.01x = 29,941.65 × 9,541.17
  4. Step 4: Simplify right side
    19,961.01x = 285,678,372.73
  5. Step 5: Solve for x
    x = 285,678,372.73/19,961.01
  6. Step 6: Final answer
    x = 14,311.82

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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.