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Finding the Fourth Proportional to 13,334.42, 20,005.94 and 6,409.46

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Solution

The fourth proportional to 13,334.42, 20,005.94 and 6,409.46 is: 9,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,334.42 : 20,005.94 = 6,409.46 : x
  2. Step 2: Convert to fraction form
    13,334.42/20,005.94 = 6,409.46/x
  3. Step 3: Cross multiply
    13,334.42x = 20,005.94 × 6,409.46
  4. Step 4: Simplify right side
    13,334.42x = 128,227,188.19
  5. Step 5: Solve for x
    x = 128,227,188.19/13,334.42
  6. Step 6: Final answer
    x = 9,616.26

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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.