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Finding the Fourth Proportional to 23,775.22, 32,809.49 and 13,019.97

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Solution

The fourth proportional to 23,775.22, 32,809.49 and 13,019.97 is: 17,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.22 : 32,809.49 = 13,019.97 : x
  2. Step 2: Convert to fraction form
    23,775.22/32,809.49 = 13,019.97/x
  3. Step 3: Cross multiply
    23,775.22x = 32,809.49 × 13,019.97
  4. Step 4: Simplify right side
    23,775.22x = 427,178,682.28
  5. Step 5: Solve for x
    x = 427,178,682.28/23,775.22
  6. Step 6: Final answer
    x = 17,967.39

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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.