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Finding the Fourth Proportional to 23,204.81, 32,022.66 and 12,594.44

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Solution

The fourth proportional to 23,204.81, 32,022.66 and 12,594.44 is: 17,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.81 : 32,022.66 = 12,594.44 : x
  2. Step 2: Convert to fraction form
    23,204.81/32,022.66 = 12,594.44/x
  3. Step 3: Cross multiply
    23,204.81x = 32,022.66 × 12,594.44
  4. Step 4: Simplify right side
    23,204.81x = 403,307,461.47
  5. Step 5: Solve for x
    x = 403,307,461.47/23,204.81
  6. Step 6: Final answer
    x = 17,380.34

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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.