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Finding the Fourth Proportional to 13,670.67, 20,503.23 and 3,807.30

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Solution

The fourth proportional to 13,670.67, 20,503.23 and 3,807.30 is: 5,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.67 : 20,503.23 = 3,807.30 : x
  2. Step 2: Convert to fraction form
    13,670.67/20,503.23 = 3,807.30/x
  3. Step 3: Cross multiply
    13,670.67x = 20,503.23 × 3,807.30
  4. Step 4: Simplify right side
    13,670.67x = 78,062,010.19
  5. Step 5: Solve for x
    x = 78,062,010.19/13,670.67
  6. Step 6: Final answer
    x = 5,710.18

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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.