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Finding the Fourth Proportional to 18,133.35, 27,199.59 and 10,684.16

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Solution

The fourth proportional to 18,133.35, 27,199.59 and 10,684.16 is: 16,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,133.35 : 27,199.59 = 10,684.16 : x
  2. Step 2: Convert to fraction form
    18,133.35/27,199.59 = 10,684.16/x
  3. Step 3: Cross multiply
    18,133.35x = 27,199.59 × 10,684.16
  4. Step 4: Simplify right side
    18,133.35x = 290,604,635.50
  5. Step 5: Solve for x
    x = 290,604,635.50/18,133.35
  6. Step 6: Final answer
    x = 16,025.98

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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.