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Finding the Fourth Proportional to 13,478.82, 20,221.62 and 5,159.50

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Solution

The fourth proportional to 13,478.82, 20,221.62 and 5,159.50 is: 7,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.82 : 20,221.62 = 5,159.50 : x
  2. Step 2: Convert to fraction form
    13,478.82/20,221.62 = 5,159.50/x
  3. Step 3: Cross multiply
    13,478.82x = 20,221.62 × 5,159.50
  4. Step 4: Simplify right side
    13,478.82x = 104,333,448.39
  5. Step 5: Solve for x
    x = 104,333,448.39/13,478.82
  6. Step 6: Final answer
    x = 7,740.55

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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.