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Finding the Fourth Proportional to 19,492.96, 29,230.32 and 8,399.20

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Solution

The fourth proportional to 19,492.96, 29,230.32 and 8,399.20 is: 12,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.96 : 29,230.32 = 8,399.20 : x
  2. Step 2: Convert to fraction form
    19,492.96/29,230.32 = 8,399.20/x
  3. Step 3: Cross multiply
    19,492.96x = 29,230.32 × 8,399.20
  4. Step 4: Simplify right side
    19,492.96x = 245,511,303.74
  5. Step 5: Solve for x
    x = 245,511,303.74/19,492.96
  6. Step 6: Final answer
    x = 12,594.87

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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.