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Finding the Fourth Proportional to 30,774.18, 46,163.11 and 9,714.90

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Solution

The fourth proportional to 30,774.18, 46,163.11 and 9,714.90 is: 14,572.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.18 : 46,163.11 = 9,714.90 : x
  2. Step 2: Convert to fraction form
    30,774.18/46,163.11 = 9,714.90/x
  3. Step 3: Cross multiply
    30,774.18x = 46,163.11 × 9,714.90
  4. Step 4: Simplify right side
    30,774.18x = 448,469,997.34
  5. Step 5: Solve for x
    x = 448,469,997.34/30,774.18
  6. Step 6: Final answer
    x = 14,572.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.