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Finding the Fourth Proportional to 28,454.90, 42,658.26 and 11,804.54

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Solution

The fourth proportional to 28,454.90, 42,658.26 and 11,804.54 is: 17,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,454.90 : 42,658.26 = 11,804.54 : x
  2. Step 2: Convert to fraction form
    28,454.90/42,658.26 = 11,804.54/x
  3. Step 3: Cross multiply
    28,454.90x = 42,658.26 × 11,804.54
  4. Step 4: Simplify right side
    28,454.90x = 503,561,136.50
  5. Step 5: Solve for x
    x = 503,561,136.50/28,454.90
  6. Step 6: Final answer
    x = 17,696.82

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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.