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Finding the Fourth Proportional to 18,497.95, 27,748.44 and 6,014.74

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Solution

The fourth proportional to 18,497.95, 27,748.44 and 6,014.74 is: 9,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.95 : 27,748.44 = 6,014.74 : x
  2. Step 2: Convert to fraction form
    18,497.95/27,748.44 = 6,014.74/x
  3. Step 3: Cross multiply
    18,497.95x = 27,748.44 × 6,014.74
  4. Step 4: Simplify right side
    18,497.95x = 166,899,652.01
  5. Step 5: Solve for x
    x = 166,899,652.01/18,497.95
  6. Step 6: Final answer
    x = 9,022.60

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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.