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Finding the Fourth Proportional to 23,201.49, 32,017.71 and 13,642.45

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Solution

The fourth proportional to 23,201.49, 32,017.71 and 13,642.45 is: 18,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.49 : 32,017.71 = 13,642.45 : x
  2. Step 2: Convert to fraction form
    23,201.49/32,017.71 = 13,642.45/x
  3. Step 3: Cross multiply
    23,201.49x = 32,017.71 × 13,642.45
  4. Step 4: Simplify right side
    23,201.49x = 436,800,007.79
  5. Step 5: Solve for x
    x = 436,800,007.79/23,201.49
  6. Step 6: Final answer
    x = 18,826.38

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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.