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Finding the Fourth Proportional to 13,315, 19,971.96 and 3,954.64

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Solution

The fourth proportional to 13,315, 19,971.96 and 3,954.64 is: 5,931.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315 : 19,971.96 = 3,954.64 : x
  2. Step 2: Convert to fraction form
    13,315/19,971.96 = 3,954.64/x
  3. Step 3: Cross multiply
    13,315x = 19,971.96 × 3,954.64
  4. Step 4: Simplify right side
    13,315x = 78,981,911.89
  5. Step 5: Solve for x
    x = 78,981,911.89/13,315
  6. Step 6: Final answer
    x = 5,931.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.