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Finding the Fourth Proportional to 19,840.94, 29,774.37 and 9,453.50

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Solution

The fourth proportional to 19,840.94, 29,774.37 and 9,453.50 is: 14,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,840.94 : 29,774.37 = 9,453.50 : x
  2. Step 2: Convert to fraction form
    19,840.94/29,774.37 = 9,453.50/x
  3. Step 3: Cross multiply
    19,840.94x = 29,774.37 × 9,453.50
  4. Step 4: Simplify right side
    19,840.94x = 281,472,006.80
  5. Step 5: Solve for x
    x = 281,472,006.80/19,840.94
  6. Step 6: Final answer
    x = 14,186.42

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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.