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Finding the Fourth Proportional to 13,447.68, 20,154.56 and 9,552.96

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Solution

The fourth proportional to 13,447.68, 20,154.56 and 9,552.96 is: 14,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,447.68 : 20,154.56 = 9,552.96 : x
  2. Step 2: Convert to fraction form
    13,447.68/20,154.56 = 9,552.96/x
  3. Step 3: Cross multiply
    13,447.68x = 20,154.56 × 9,552.96
  4. Step 4: Simplify right side
    13,447.68x = 192,535,705.50
  5. Step 5: Solve for x
    x = 192,535,705.50/13,447.68
  6. Step 6: Final answer
    x = 14,317.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.