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Finding the Fourth Proportional to 23,230.62, 32,063.32 and 14,285.80

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Solution

The fourth proportional to 23,230.62, 32,063.32 and 14,285.80 is: 19,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.62 : 32,063.32 = 14,285.80 : x
  2. Step 2: Convert to fraction form
    23,230.62/32,063.32 = 14,285.80/x
  3. Step 3: Cross multiply
    23,230.62x = 32,063.32 × 14,285.80
  4. Step 4: Simplify right side
    23,230.62x = 458,050,176.86
  5. Step 5: Solve for x
    x = 458,050,176.86/23,230.62
  6. Step 6: Final answer
    x = 19,717.52

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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.