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Finding the Fourth Proportional to 15,406.80, 23,161.76 and 12,159.04

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Solution

The fourth proportional to 15,406.80, 23,161.76 and 12,159.04 is: 18,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.80 : 23,161.76 = 12,159.04 : x
  2. Step 2: Convert to fraction form
    15,406.80/23,161.76 = 12,159.04/x
  3. Step 3: Cross multiply
    15,406.80x = 23,161.76 × 12,159.04
  4. Step 4: Simplify right side
    15,406.80x = 281,624,766.31
  5. Step 5: Solve for x
    x = 281,624,766.31/15,406.80
  6. Step 6: Final answer
    x = 18,279.25

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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.