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Finding the Fourth Proportional to 23,406.50, 32,317.89 and 14,466.26

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Solution

The fourth proportional to 23,406.50, 32,317.89 and 14,466.26 is: 19,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406.50 : 32,317.89 = 14,466.26 : x
  2. Step 2: Convert to fraction form
    23,406.50/32,317.89 = 14,466.26/x
  3. Step 3: Cross multiply
    23,406.50x = 32,317.89 × 14,466.26
  4. Step 4: Simplify right side
    23,406.50x = 467,519,025.94
  5. Step 5: Solve for x
    x = 467,519,025.94/23,406.50
  6. Step 6: Final answer
    x = 19,973.90

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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.