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Finding the Fourth Proportional to 16,762, 25,143.60 and 4,450

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Solution

The fourth proportional to 16,762, 25,143.60 and 4,450 is: 6,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762 : 25,143.60 = 4,450 : x
  2. Step 2: Convert to fraction form
    16,762/25,143.60 = 4,450/x
  3. Step 3: Cross multiply
    16,762x = 25,143.60 × 4,450
  4. Step 4: Simplify right side
    16,762x = 111,889,020
  5. Step 5: Solve for x
    x = 111,889,020/16,762
  6. Step 6: Final answer
    x = 6,675.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.