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Finding the Fourth Proportional to 23,825.52, 32,878.37 and 13,216.14

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Solution

The fourth proportional to 23,825.52, 32,878.37 and 13,216.14 is: 18,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.52 : 32,878.37 = 13,216.14 : x
  2. Step 2: Convert to fraction form
    23,825.52/32,878.37 = 13,216.14/x
  3. Step 3: Cross multiply
    23,825.52x = 32,878.37 × 13,216.14
  4. Step 4: Simplify right side
    23,825.52x = 434,525,140.89
  5. Step 5: Solve for x
    x = 434,525,140.89/23,825.52
  6. Step 6: Final answer
    x = 18,237.80

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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.