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Finding the Fourth Proportional to 12,156.77, 18,235.16 and 3,837.63

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Solution

The fourth proportional to 12,156.77, 18,235.16 and 3,837.63 is: 5,756.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156.77 : 18,235.16 = 3,837.63 : x
  2. Step 2: Convert to fraction form
    12,156.77/18,235.16 = 3,837.63/x
  3. Step 3: Cross multiply
    12,156.77x = 18,235.16 × 3,837.63
  4. Step 4: Simplify right side
    12,156.77x = 69,979,797.07
  5. Step 5: Solve for x
    x = 69,979,797.07/12,156.77
  6. Step 6: Final answer
    x = 5,756.45

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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.