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Finding the Fourth Proportional to 12,595, 18,893.28 and 3,830.56

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Solution

The fourth proportional to 12,595, 18,893.28 and 3,830.56 is: 5,746.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595 : 18,893.28 = 3,830.56 : x
  2. Step 2: Convert to fraction form
    12,595/18,893.28 = 3,830.56/x
  3. Step 3: Cross multiply
    12,595x = 18,893.28 × 3,830.56
  4. Step 4: Simplify right side
    12,595x = 72,371,842.64
  5. Step 5: Solve for x
    x = 72,371,842.64/12,595
  6. Step 6: Final answer
    x = 5,746.08

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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.