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Finding the Fourth Proportional to 13,965.48, 19,273.14 and 7,679.16

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Solution

The fourth proportional to 13,965.48, 19,273.14 and 7,679.16 is: 10,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.48 : 19,273.14 = 7,679.16 : x
  2. Step 2: Convert to fraction form
    13,965.48/19,273.14 = 7,679.16/x
  3. Step 3: Cross multiply
    13,965.48x = 19,273.14 × 7,679.16
  4. Step 4: Simplify right side
    13,965.48x = 148,001,525.76
  5. Step 5: Solve for x
    x = 148,001,525.76/13,965.48
  6. Step 6: Final answer
    x = 10,597.67

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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.