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Finding the Fourth Proportional to 22,696.96, 34,030.06 and 11,594.52

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Solution

The fourth proportional to 22,696.96, 34,030.06 and 11,594.52 is: 17,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696.96 : 34,030.06 = 11,594.52 : x
  2. Step 2: Convert to fraction form
    22,696.96/34,030.06 = 11,594.52/x
  3. Step 3: Cross multiply
    22,696.96x = 34,030.06 × 11,594.52
  4. Step 4: Simplify right side
    22,696.96x = 394,562,135.49
  5. Step 5: Solve for x
    x = 394,562,135.49/22,696.96
  6. Step 6: Final answer
    x = 17,383.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.