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Finding the Fourth Proportional to 12,416.21, 18,624.50 and 3,056.22

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Solution

The fourth proportional to 12,416.21, 18,624.50 and 3,056.22 is: 4,584.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.21 : 18,624.50 = 3,056.22 : x
  2. Step 2: Convert to fraction form
    12,416.21/18,624.50 = 3,056.22/x
  3. Step 3: Cross multiply
    12,416.21x = 18,624.50 × 3,056.22
  4. Step 4: Simplify right side
    12,416.21x = 56,920,536.16
  5. Step 5: Solve for x
    x = 56,920,536.16/12,416.21
  6. Step 6: Final answer
    x = 4,584.37

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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.