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Finding the Fourth Proportional to 43,814.16, 65,722.20 and 14,232

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Solution

The fourth proportional to 43,814.16, 65,722.20 and 14,232 is: 21,348.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814.16 : 65,722.20 = 14,232 : x
  2. Step 2: Convert to fraction form
    43,814.16/65,722.20 = 14,232/x
  3. Step 3: Cross multiply
    43,814.16x = 65,722.20 × 14,232
  4. Step 4: Simplify right side
    43,814.16x = 935,358,350.40
  5. Step 5: Solve for x
    x = 935,358,350.40/43,814.16
  6. Step 6: Final answer
    x = 21,348.31

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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.