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Finding the Fourth Proportional to 13,550.34, 20,329.16 and 6,972.94

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Solution

The fourth proportional to 13,550.34, 20,329.16 and 6,972.94 is: 10,461.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,550.34 : 20,329.16 = 6,972.94 : x
  2. Step 2: Convert to fraction form
    13,550.34/20,329.16 = 6,972.94/x
  3. Step 3: Cross multiply
    13,550.34x = 20,329.16 × 6,972.94
  4. Step 4: Simplify right side
    13,550.34x = 141,754,012.93
  5. Step 5: Solve for x
    x = 141,754,012.93/13,550.34
  6. Step 6: Final answer
    x = 10,461.29

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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.