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Finding the Fourth Proportional to 43,823, 65,701.70 and 14,223.18

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Solution

The fourth proportional to 43,823, 65,701.70 and 14,223.18 is: 21,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,823 : 65,701.70 = 14,223.18 : x
  2. Step 2: Convert to fraction form
    43,823/65,701.70 = 14,223.18/x
  3. Step 3: Cross multiply
    43,823x = 65,701.70 × 14,223.18
  4. Step 4: Simplify right side
    43,823x = 934,487,105.41
  5. Step 5: Solve for x
    x = 934,487,105.41/43,823
  6. Step 6: Final answer
    x = 21,324.12

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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.