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Finding the Fourth Proportional to 12,405.36, 18,608.04 and 5,826.72

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Solution

The fourth proportional to 12,405.36, 18,608.04 and 5,826.72 is: 8,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,405.36 : 18,608.04 = 5,826.72 : x
  2. Step 2: Convert to fraction form
    12,405.36/18,608.04 = 5,826.72/x
  3. Step 3: Cross multiply
    12,405.36x = 18,608.04 × 5,826.72
  4. Step 4: Simplify right side
    12,405.36x = 108,423,838.83
  5. Step 5: Solve for x
    x = 108,423,838.83/12,405.36
  6. Step 6: Final answer
    x = 8,740.08

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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.