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Finding the Fourth Proportional to 13,992.67, 19,309.80 and 7,705

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Solution

The fourth proportional to 13,992.67, 19,309.80 and 7,705 is: 10,632.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.67 : 19,309.80 = 7,705 : x
  2. Step 2: Convert to fraction form
    13,992.67/19,309.80 = 7,705/x
  3. Step 3: Cross multiply
    13,992.67x = 19,309.80 × 7,705
  4. Step 4: Simplify right side
    13,992.67x = 148,782,009
  5. Step 5: Solve for x
    x = 148,782,009/13,992.67
  6. Step 6: Final answer
    x = 10,632.85

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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.