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Finding the Fourth Proportional to 13,460.83, 20,175.42 and 6,056.62

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Solution

The fourth proportional to 13,460.83, 20,175.42 and 6,056.62 is: 9,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.83 : 20,175.42 = 6,056.62 : x
  2. Step 2: Convert to fraction form
    13,460.83/20,175.42 = 6,056.62/x
  3. Step 3: Cross multiply
    13,460.83x = 20,175.42 × 6,056.62
  4. Step 4: Simplify right side
    13,460.83x = 122,194,852.28
  5. Step 5: Solve for x
    x = 122,194,852.28/13,460.83
  6. Step 6: Final answer
    x = 9,077.81

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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.