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Finding the Fourth Proportional to 13,460.34, 20,174.66 and 6,056.12

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Solution

The fourth proportional to 13,460.34, 20,174.66 and 6,056.12 is: 9,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460.34 : 20,174.66 = 6,056.12 : x
  2. Step 2: Convert to fraction form
    13,460.34/20,174.66 = 6,056.12/x
  3. Step 3: Cross multiply
    13,460.34x = 20,174.66 × 6,056.12
  4. Step 4: Simplify right side
    13,460.34x = 122,180,161.92
  5. Step 5: Solve for x
    x = 122,180,161.92/13,460.34
  6. Step 6: Final answer
    x = 9,077.05

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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.