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Finding the Fourth Proportional to 13,992.16, 19,309.20 and 7,704.54

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Solution

The fourth proportional to 13,992.16, 19,309.20 and 7,704.54 is: 10,632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.16 : 19,309.20 = 7,704.54 : x
  2. Step 2: Convert to fraction form
    13,992.16/19,309.20 = 7,704.54/x
  3. Step 3: Cross multiply
    13,992.16x = 19,309.20 × 7,704.54
  4. Step 4: Simplify right side
    13,992.16x = 148,768,503.77
  5. Step 5: Solve for x
    x = 148,768,503.77/13,992.16
  6. Step 6: Final answer
    x = 10,632.28

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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.