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Finding the Fourth Proportional to 18,373.50, 27,538.74 and 7,840.53

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Solution

The fourth proportional to 18,373.50, 27,538.74 and 7,840.53 is: 11,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,373.50 : 27,538.74 = 7,840.53 : x
  2. Step 2: Convert to fraction form
    18,373.50/27,538.74 = 7,840.53/x
  3. Step 3: Cross multiply
    18,373.50x = 27,538.74 × 7,840.53
  4. Step 4: Simplify right side
    18,373.50x = 215,918,317.13
  5. Step 5: Solve for x
    x = 215,918,317.13/18,373.50
  6. Step 6: Final answer
    x = 11,751.62

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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.