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Finding the Fourth Proportional to 14,416.33, 21,630.26 and 7,834.81

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Solution

The fourth proportional to 14,416.33, 21,630.26 and 7,834.81 is: 11,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.33 : 21,630.26 = 7,834.81 : x
  2. Step 2: Convert to fraction form
    14,416.33/21,630.26 = 7,834.81/x
  3. Step 3: Cross multiply
    14,416.33x = 21,630.26 × 7,834.81
  4. Step 4: Simplify right side
    14,416.33x = 169,468,977.35
  5. Step 5: Solve for x
    x = 169,468,977.35/14,416.33
  6. Step 6: Final answer
    x = 11,755.35

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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.