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Finding the Fourth Proportional to 13,670.88, 20,506.34 and 3,810.42

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Solution

The fourth proportional to 13,670.88, 20,506.34 and 3,810.42 is: 5,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.88 : 20,506.34 = 3,810.42 : x
  2. Step 2: Convert to fraction form
    13,670.88/20,506.34 = 3,810.42/x
  3. Step 3: Cross multiply
    13,670.88x = 20,506.34 × 3,810.42
  4. Step 4: Simplify right side
    13,670.88x = 78,137,768.06
  5. Step 5: Solve for x
    x = 78,137,768.06/13,670.88
  6. Step 6: Final answer
    x = 5,715.64

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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.