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Finding the Fourth Proportional to 18,534.90, 27,802.25 and 4,494.93

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Solution

The fourth proportional to 18,534.90, 27,802.25 and 4,494.93 is: 6,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.90 : 27,802.25 = 4,494.93 : x
  2. Step 2: Convert to fraction form
    18,534.90/27,802.25 = 4,494.93/x
  3. Step 3: Cross multiply
    18,534.90x = 27,802.25 × 4,494.93
  4. Step 4: Simplify right side
    18,534.90x = 124,969,181.33
  5. Step 5: Solve for x
    x = 124,969,181.33/18,534.90
  6. Step 6: Final answer
    x = 6,742.37

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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.