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Finding the Fourth Proportional to 13,458.46, 18,556.83 and 9,211.57

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Solution

The fourth proportional to 13,458.46, 18,556.83 and 9,211.57 is: 12,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.46 : 18,556.83 = 9,211.57 : x
  2. Step 2: Convert to fraction form
    13,458.46/18,556.83 = 9,211.57/x
  3. Step 3: Cross multiply
    13,458.46x = 18,556.83 × 9,211.57
  4. Step 4: Simplify right side
    13,458.46x = 170,937,538.52
  5. Step 5: Solve for x
    x = 170,937,538.52/13,458.46
  6. Step 6: Final answer
    x = 12,701.12

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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.