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Finding the Fourth Proportional to 27,348.42, 41,029.54 and 7,626.98

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Solution

The fourth proportional to 27,348.42, 41,029.54 and 7,626.98 is: 11,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.42 : 41,029.54 = 7,626.98 : x
  2. Step 2: Convert to fraction form
    27,348.42/41,029.54 = 7,626.98/x
  3. Step 3: Cross multiply
    27,348.42x = 41,029.54 × 7,626.98
  4. Step 4: Simplify right side
    27,348.42x = 312,931,275.84
  5. Step 5: Solve for x
    x = 312,931,275.84/27,348.42
  6. Step 6: Final answer
    x = 11,442.39

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