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Finding the Fourth Proportional to 18,420.16, 27,623.20 and 5,937

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Solution

The fourth proportional to 18,420.16, 27,623.20 and 5,937 is: 8,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420.16 : 27,623.20 = 5,937 : x
  2. Step 2: Convert to fraction form
    18,420.16/27,623.20 = 5,937/x
  3. Step 3: Cross multiply
    18,420.16x = 27,623.20 × 5,937
  4. Step 4: Simplify right side
    18,420.16x = 163,998,938.40
  5. Step 5: Solve for x
    x = 163,998,938.40/18,420.16
  6. Step 6: Final answer
    x = 8,903.23

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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.