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Finding the Fourth Proportional to 13,559.23, 18,711.19 and 7,894.14

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Solution

The fourth proportional to 13,559.23, 18,711.19 and 7,894.14 is: 10,893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,559.23 : 18,711.19 = 7,894.14 : x
  2. Step 2: Convert to fraction form
    13,559.23/18,711.19 = 7,894.14/x
  3. Step 3: Cross multiply
    13,559.23x = 18,711.19 × 7,894.14
  4. Step 4: Simplify right side
    13,559.23x = 147,708,620.40
  5. Step 5: Solve for x
    x = 147,708,620.40/13,559.23
  6. Step 6: Final answer
    x = 10,893.59

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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.