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Finding the Fourth Proportional to 27,137.13, 40,701.69 and 13,804.63

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Solution

The fourth proportional to 27,137.13, 40,701.69 and 13,804.63 is: 20,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.13 : 40,701.69 = 13,804.63 : x
  2. Step 2: Convert to fraction form
    27,137.13/40,701.69 = 13,804.63/x
  3. Step 3: Cross multiply
    27,137.13x = 40,701.69 × 13,804.63
  4. Step 4: Simplify right side
    27,137.13x = 561,871,669.07
  5. Step 5: Solve for x
    x = 561,871,669.07/27,137.13
  6. Step 6: Final answer
    x = 20,704.91

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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.