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Finding the Fourth Proportional to 27,840.46, 41,762.40 and 11,200.46

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Solution

The fourth proportional to 27,840.46, 41,762.40 and 11,200.46 is: 16,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.46 : 41,762.40 = 11,200.46 : x
  2. Step 2: Convert to fraction form
    27,840.46/41,762.40 = 11,200.46/x
  3. Step 3: Cross multiply
    27,840.46x = 41,762.40 × 11,200.46
  4. Step 4: Simplify right side
    27,840.46x = 467,758,090.70
  5. Step 5: Solve for x
    x = 467,758,090.70/27,840.46
  6. Step 6: Final answer
    x = 16,801.38

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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.