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Finding the Fourth Proportional to 16,803.84, 25,205.76 and 6,416.64

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Solution

The fourth proportional to 16,803.84, 25,205.76 and 6,416.64 is: 9,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.84 : 25,205.76 = 6,416.64 : x
  2. Step 2: Convert to fraction form
    16,803.84/25,205.76 = 6,416.64/x
  3. Step 3: Cross multiply
    16,803.84x = 25,205.76 × 6,416.64
  4. Step 4: Simplify right side
    16,803.84x = 161,736,287.85
  5. Step 5: Solve for x
    x = 161,736,287.85/16,803.84
  6. Step 6: Final answer
    x = 9,624.96

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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.