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Finding the Fourth Proportional to 23,352.50, 32,226.46 and 14,969

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Solution

The fourth proportional to 23,352.50, 32,226.46 and 14,969 is: 20,657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,352.50 : 32,226.46 = 14,969 : x
  2. Step 2: Convert to fraction form
    23,352.50/32,226.46 = 14,969/x
  3. Step 3: Cross multiply
    23,352.50x = 32,226.46 × 14,969
  4. Step 4: Simplify right side
    23,352.50x = 482,397,879.74
  5. Step 5: Solve for x
    x = 482,397,879.74/23,352.50
  6. Step 6: Final answer
    x = 20,657.23

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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.