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Finding the Fourth Proportional to 18,142.04, 27,220.86 and 9,828

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Solution

The fourth proportional to 18,142.04, 27,220.86 and 9,828 is: 14,746.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.04 : 27,220.86 = 9,828 : x
  2. Step 2: Convert to fraction form
    18,142.04/27,220.86 = 9,828/x
  3. Step 3: Cross multiply
    18,142.04x = 27,220.86 × 9,828
  4. Step 4: Simplify right side
    18,142.04x = 267,526,612.08
  5. Step 5: Solve for x
    x = 267,526,612.08/18,142.04
  6. Step 6: Final answer
    x = 14,746.22

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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.