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Finding the Fourth Proportional to 16,740, 25,095.69 and 6,873.12

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Solution

The fourth proportional to 16,740, 25,095.69 and 6,873.12 is: 10,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,740 : 25,095.69 = 6,873.12 : x
  2. Step 2: Convert to fraction form
    16,740/25,095.69 = 6,873.12/x
  3. Step 3: Cross multiply
    16,740x = 25,095.69 × 6,873.12
  4. Step 4: Simplify right side
    16,740x = 172,485,688.85
  5. Step 5: Solve for x
    x = 172,485,688.85/16,740
  6. Step 6: Final answer
    x = 10,303.80

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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.