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Finding the Fourth Proportional to 16,334.40, 24,497.56 and 6,969.84

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Solution

The fourth proportional to 16,334.40, 24,497.56 and 6,969.84 is: 10,453.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,334.40 : 24,497.56 = 6,969.84 : x
  2. Step 2: Convert to fraction form
    16,334.40/24,497.56 = 6,969.84/x
  3. Step 3: Cross multiply
    16,334.40x = 24,497.56 × 6,969.84
  4. Step 4: Simplify right side
    16,334.40x = 170,744,073.59
  5. Step 5: Solve for x
    x = 170,744,073.59/16,334.40
  6. Step 6: Final answer
    x = 10,453.04

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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.