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Finding the Fourth Proportional to 18,624.90, 27,938.21 and 6,146.01

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Solution

The fourth proportional to 18,624.90, 27,938.21 and 6,146.01 is: 9,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,624.90 : 27,938.21 = 6,146.01 : x
  2. Step 2: Convert to fraction form
    18,624.90/27,938.21 = 6,146.01/x
  3. Step 3: Cross multiply
    18,624.90x = 27,938.21 × 6,146.01
  4. Step 4: Simplify right side
    18,624.90x = 171,708,504.60
  5. Step 5: Solve for x
    x = 171,708,504.60/18,624.90
  6. Step 6: Final answer
    x = 9,219.30

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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.