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Finding the Fourth Proportional to 13,381.79, 20,072.63 and 7,870.21

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Solution

The fourth proportional to 13,381.79, 20,072.63 and 7,870.21 is: 11,805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.79 : 20,072.63 = 7,870.21 : x
  2. Step 2: Convert to fraction form
    13,381.79/20,072.63 = 7,870.21/x
  3. Step 3: Cross multiply
    13,381.79x = 20,072.63 × 7,870.21
  4. Step 4: Simplify right side
    13,381.79x = 157,975,782.85
  5. Step 5: Solve for x
    x = 157,975,782.85/13,381.79
  6. Step 6: Final answer
    x = 11,805.28

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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.