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Finding the Fourth Proportional to 13,334.92, 20,006.70 and 6,409.96

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Solution

The fourth proportional to 13,334.92, 20,006.70 and 6,409.96 is: 9,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334.92 : 20,006.70 = 6,409.96 : x
  2. Step 2: Convert to fraction form
    13,334.92/20,006.70 = 6,409.96/x
  3. Step 3: Cross multiply
    13,334.92x = 20,006.70 × 6,409.96
  4. Step 4: Simplify right side
    13,334.92x = 128,242,014.65
  5. Step 5: Solve for x
    x = 128,242,014.65/13,334.92
  6. Step 6: Final answer
    x = 9,617.01

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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.