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Finding the Fourth Proportional to 15,120.42, 20,864.97 and 8,406.06

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Solution

The fourth proportional to 15,120.42, 20,864.97 and 8,406.06 is: 11,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,120.42 : 20,864.97 = 8,406.06 : x
  2. Step 2: Convert to fraction form
    15,120.42/20,864.97 = 8,406.06/x
  3. Step 3: Cross multiply
    15,120.42x = 20,864.97 × 8,406.06
  4. Step 4: Simplify right side
    15,120.42x = 175,392,189.72
  5. Step 5: Solve for x
    x = 175,392,189.72/15,120.42
  6. Step 6: Final answer
    x = 11,599.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.