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Finding the Fourth Proportional to 18,457.83, 27,693.23 and 11,524.23

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Solution

The fourth proportional to 18,457.83, 27,693.23 and 11,524.23 is: 17,290.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.83 : 27,693.23 = 11,524.23 : x
  2. Step 2: Convert to fraction form
    18,457.83/27,693.23 = 11,524.23/x
  3. Step 3: Cross multiply
    18,457.83x = 27,693.23 × 11,524.23
  4. Step 4: Simplify right side
    18,457.83x = 319,143,094.34
  5. Step 5: Solve for x
    x = 319,143,094.34/18,457.83
  6. Step 6: Final answer
    x = 17,290.39

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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.