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Finding the Fourth Proportional to 13,713.89, 20,570.84 and 3,325.64

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Solution

The fourth proportional to 13,713.89, 20,570.84 and 3,325.64 is: 4,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.89 : 20,570.84 = 3,325.64 : x
  2. Step 2: Convert to fraction form
    13,713.89/20,570.84 = 3,325.64/x
  3. Step 3: Cross multiply
    13,713.89x = 20,570.84 × 3,325.64
  4. Step 4: Simplify right side
    13,713.89x = 68,411,235.74
  5. Step 5: Solve for x
    x = 68,411,235.74/13,713.89
  6. Step 6: Final answer
    x = 4,988.46

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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.