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Finding the Fourth Proportional to 13,537.40, 20,284.14 and 6,954.44

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Solution

The fourth proportional to 13,537.40, 20,284.14 and 6,954.44 is: 10,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.40 : 20,284.14 = 6,954.44 : x
  2. Step 2: Convert to fraction form
    13,537.40/20,284.14 = 6,954.44/x
  3. Step 3: Cross multiply
    13,537.40x = 20,284.14 × 6,954.44
  4. Step 4: Simplify right side
    13,537.40x = 141,064,834.58
  5. Step 5: Solve for x
    x = 141,064,834.58/13,537.40
  6. Step 6: Final answer
    x = 10,420.38

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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.