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Finding the Fourth Proportional to 16,825.68, 25,224.12 and 6,444.72

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Solution

The fourth proportional to 16,825.68, 25,224.12 and 6,444.72 is: 9,661.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825.68 : 25,224.12 = 6,444.72 : x
  2. Step 2: Convert to fraction form
    16,825.68/25,224.12 = 6,444.72/x
  3. Step 3: Cross multiply
    16,825.68x = 25,224.12 × 6,444.72
  4. Step 4: Simplify right side
    16,825.68x = 162,562,390.65
  5. Step 5: Solve for x
    x = 162,562,390.65/16,825.68
  6. Step 6: Final answer
    x = 9,661.56

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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.