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Finding the Fourth Proportional to 13,446.18, 20,166.54 and 8,446.32

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Solution

The fourth proportional to 13,446.18, 20,166.54 and 8,446.32 is: 12,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446.18 : 20,166.54 = 8,446.32 : x
  2. Step 2: Convert to fraction form
    13,446.18/20,166.54 = 8,446.32/x
  3. Step 3: Cross multiply
    13,446.18x = 20,166.54 × 8,446.32
  4. Step 4: Simplify right side
    13,446.18x = 170,333,050.13
  5. Step 5: Solve for x
    x = 170,333,050.13/13,446.18
  6. Step 6: Final answer
    x = 12,667.77

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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.