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Finding the Fourth Proportional to 30,664.32, 46,014.32 and 12,893.69

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Solution

The fourth proportional to 30,664.32, 46,014.32 and 12,893.69 is: 19,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.32 : 46,014.32 = 12,893.69 : x
  2. Step 2: Convert to fraction form
    30,664.32/46,014.32 = 12,893.69/x
  3. Step 3: Cross multiply
    30,664.32x = 46,014.32 × 12,893.69
  4. Step 4: Simplify right side
    30,664.32x = 593,294,524.91
  5. Step 5: Solve for x
    x = 593,294,524.91/30,664.32
  6. Step 6: Final answer
    x = 19,348.04

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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.