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Finding the Fourth Proportional to 23,355.83, 32,231.75 and 13,285.71

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Solution

The fourth proportional to 23,355.83, 32,231.75 and 13,285.71 is: 18,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355.83 : 32,231.75 = 13,285.71 : x
  2. Step 2: Convert to fraction form
    23,355.83/32,231.75 = 13,285.71/x
  3. Step 3: Cross multiply
    23,355.83x = 32,231.75 × 13,285.71
  4. Step 4: Simplify right side
    23,355.83x = 428,221,616.86
  5. Step 5: Solve for x
    x = 428,221,616.86/23,355.83
  6. Step 6: Final answer
    x = 18,334.68

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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.