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Finding the Fourth Proportional to 23,825.89, 32,878.89 and 13,216.51

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Solution

The fourth proportional to 23,825.89, 32,878.89 and 13,216.51 is: 18,238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.89 : 32,878.89 = 13,216.51 : x
  2. Step 2: Convert to fraction form
    23,825.89/32,878.89 = 13,216.51/x
  3. Step 3: Cross multiply
    23,825.89x = 32,878.89 × 13,216.51
  4. Step 4: Simplify right side
    23,825.89x = 434,544,219.57
  5. Step 5: Solve for x
    x = 434,544,219.57/23,825.89
  6. Step 6: Final answer
    x = 18,238.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.