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Finding the Fourth Proportional to 23,383.91, 32,228.07 and 17,705.06

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Solution

The fourth proportional to 23,383.91, 32,228.07 and 17,705.06 is: 24,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.91 : 32,228.07 = 17,705.06 : x
  2. Step 2: Convert to fraction form
    23,383.91/32,228.07 = 17,705.06/x
  3. Step 3: Cross multiply
    23,383.91x = 32,228.07 × 17,705.06
  4. Step 4: Simplify right side
    23,383.91x = 570,599,913.03
  5. Step 5: Solve for x
    x = 570,599,913.03/23,383.91
  6. Step 6: Final answer
    x = 24,401.39

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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.