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Finding the Fourth Proportional to 13,814.96, 20,724.49 and 4,929.59

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Solution

The fourth proportional to 13,814.96, 20,724.49 and 4,929.59 is: 7,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,814.96 : 20,724.49 = 4,929.59 : x
  2. Step 2: Convert to fraction form
    13,814.96/20,724.49 = 4,929.59/x
  3. Step 3: Cross multiply
    13,814.96x = 20,724.49 × 4,929.59
  4. Step 4: Simplify right side
    13,814.96x = 102,163,296.63
  5. Step 5: Solve for x
    x = 102,163,296.63/13,814.96
  6. Step 6: Final answer
    x = 7,395.12

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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.