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Finding the Fourth Proportional to 16,416.22, 24,624.81 and 6,420.57

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Solution

The fourth proportional to 16,416.22, 24,624.81 and 6,420.57 is: 9,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.22 : 24,624.81 = 6,420.57 : x
  2. Step 2: Convert to fraction form
    16,416.22/24,624.81 = 6,420.57/x
  3. Step 3: Cross multiply
    16,416.22x = 24,624.81 × 6,420.57
  4. Step 4: Simplify right side
    16,416.22x = 158,105,224.00
  5. Step 5: Solve for x
    x = 158,105,224.00/16,416.22
  6. Step 6: Final answer
    x = 9,631.04

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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.