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Finding the Fourth Proportional to 18,421.16, 27,624.70 and 5,938

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Solution

The fourth proportional to 18,421.16, 27,624.70 and 5,938 is: 8,904.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,421.16 : 27,624.70 = 5,938 : x
  2. Step 2: Convert to fraction form
    18,421.16/27,624.70 = 5,938/x
  3. Step 3: Cross multiply
    18,421.16x = 27,624.70 × 5,938
  4. Step 4: Simplify right side
    18,421.16x = 164,035,468.60
  5. Step 5: Solve for x
    x = 164,035,468.60/18,421.16
  6. Step 6: Final answer
    x = 8,904.73

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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.