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Finding the Fourth Proportional to 12,994.86, 19,492.28 and 4,229.77

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Solution

The fourth proportional to 12,994.86, 19,492.28 and 4,229.77 is: 6,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.86 : 19,492.28 = 4,229.77 : x
  2. Step 2: Convert to fraction form
    12,994.86/19,492.28 = 4,229.77/x
  3. Step 3: Cross multiply
    12,994.86x = 19,492.28 × 4,229.77
  4. Step 4: Simplify right side
    12,994.86x = 82,447,861.18
  5. Step 5: Solve for x
    x = 82,447,861.18/12,994.86
  6. Step 6: Final answer
    x = 6,344.65

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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.