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Finding the Fourth Proportional to 13,347.37, 18,421.20 and 7,682

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Solution

The fourth proportional to 13,347.37, 18,421.20 and 7,682 is: 10,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.37 : 18,421.20 = 7,682 : x
  2. Step 2: Convert to fraction form
    13,347.37/18,421.20 = 7,682/x
  3. Step 3: Cross multiply
    13,347.37x = 18,421.20 × 7,682
  4. Step 4: Simplify right side
    13,347.37x = 141,511,619.99
  5. Step 5: Solve for x
    x = 141,511,619.99/13,347.37
  6. Step 6: Final answer
    x = 10,602.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.