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Finding the Fourth Proportional to 18,782.23, 25,918.67 and 10,284.19

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Solution

The fourth proportional to 18,782.23, 25,918.67 and 10,284.19 is: 14,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,782.23 : 25,918.67 = 10,284.19 : x
  2. Step 2: Convert to fraction form
    18,782.23/25,918.67 = 10,284.19/x
  3. Step 3: Cross multiply
    18,782.23x = 25,918.67 × 10,284.19
  4. Step 4: Simplify right side
    18,782.23x = 266,552,526.83
  5. Step 5: Solve for x
    x = 266,552,526.83/18,782.23
  6. Step 6: Final answer
    x = 14,191.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.