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Finding the Fourth Proportional to 18,109.64, 27,172.25 and 9,795.50

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Solution

The fourth proportional to 18,109.64, 27,172.25 and 9,795.50 is: 14,697.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,109.64 : 27,172.25 = 9,795.50 : x
  2. Step 2: Convert to fraction form
    18,109.64/27,172.25 = 9,795.50/x
  3. Step 3: Cross multiply
    18,109.64x = 27,172.25 × 9,795.50
  4. Step 4: Simplify right side
    18,109.64x = 266,165,590.04
  5. Step 5: Solve for x
    x = 266,165,590.04/18,109.64
  6. Step 6: Final answer
    x = 14,697.46

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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.