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Finding the Fourth Proportional to 18,102.16, 27,099.35 and 16,201.50

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Solution

The fourth proportional to 18,102.16, 27,099.35 and 16,201.50 is: 24,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,102.16 : 27,099.35 = 16,201.50 : x
  2. Step 2: Convert to fraction form
    18,102.16/27,099.35 = 16,201.50/x
  3. Step 3: Cross multiply
    18,102.16x = 27,099.35 × 16,201.50
  4. Step 4: Simplify right side
    18,102.16x = 439,050,119.03
  5. Step 5: Solve for x
    x = 439,050,119.03/18,102.16
  6. Step 6: Final answer
    x = 24,254.02

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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.