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Finding the Fourth Proportional to 23,212.74, 32,033.10 and 12,602.39

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Solution

The fourth proportional to 23,212.74, 32,033.10 and 12,602.39 is: 17,391.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.74 : 32,033.10 = 12,602.39 : x
  2. Step 2: Convert to fraction form
    23,212.74/32,033.10 = 12,602.39/x
  3. Step 3: Cross multiply
    23,212.74x = 32,033.10 × 12,602.39
  4. Step 4: Simplify right side
    23,212.74x = 403,693,506.20
  5. Step 5: Solve for x
    x = 403,693,506.20/23,212.74
  6. Step 6: Final answer
    x = 17,391.03

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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.