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Finding the Fourth Proportional to 23,315.85, 32,162.60 and 14,361.44

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Solution

The fourth proportional to 23,315.85, 32,162.60 and 14,361.44 is: 19,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,315.85 : 32,162.60 = 14,361.44 : x
  2. Step 2: Convert to fraction form
    23,315.85/32,162.60 = 14,361.44/x
  3. Step 3: Cross multiply
    23,315.85x = 32,162.60 × 14,361.44
  4. Step 4: Simplify right side
    23,315.85x = 461,901,125.23
  5. Step 5: Solve for x
    x = 461,901,125.23/23,315.85
  6. Step 6: Final answer
    x = 19,810.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.