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Finding the Fourth Proportional to 27,647.93, 41,471.60 and 12,848.63

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Solution

The fourth proportional to 27,647.93, 41,471.60 and 12,848.63 is: 19,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.93 : 41,471.60 = 12,848.63 : x
  2. Step 2: Convert to fraction form
    27,647.93/41,471.60 = 12,848.63/x
  3. Step 3: Cross multiply
    27,647.93x = 41,471.60 × 12,848.63
  4. Step 4: Simplify right side
    27,647.93x = 532,852,972.31
  5. Step 5: Solve for x
    x = 532,852,972.31/27,647.93
  6. Step 6: Final answer
    x = 19,272.80

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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.