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Finding the Fourth Proportional to 19,409.79, 29,114.70 and 8,309.30

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Solution

The fourth proportional to 19,409.79, 29,114.70 and 8,309.30 is: 12,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409.79 : 29,114.70 = 8,309.30 : x
  2. Step 2: Convert to fraction form
    19,409.79/29,114.70 = 8,309.30/x
  3. Step 3: Cross multiply
    19,409.79x = 29,114.70 × 8,309.30
  4. Step 4: Simplify right side
    19,409.79x = 241,922,631.14
  5. Step 5: Solve for x
    x = 241,922,631.14/19,409.79
  6. Step 6: Final answer
    x = 12,463.95

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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.