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Finding the Fourth Proportional to 27,745.74, 41,620.64 and 9,980.01

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Solution

The fourth proportional to 27,745.74, 41,620.64 and 9,980.01 is: 14,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.74 : 41,620.64 = 9,980.01 : x
  2. Step 2: Convert to fraction form
    27,745.74/41,620.64 = 9,980.01/x
  3. Step 3: Cross multiply
    27,745.74x = 41,620.64 × 9,980.01
  4. Step 4: Simplify right side
    27,745.74x = 415,374,353.51
  5. Step 5: Solve for x
    x = 415,374,353.51/27,745.74
  6. Step 6: Final answer
    x = 14,970.74

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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.