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Finding the Fourth Proportional to 16,983, 25,477.38 and 5,293.89

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Solution

The fourth proportional to 16,983, 25,477.38 and 5,293.89 is: 7,941.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983 : 25,477.38 = 5,293.89 : x
  2. Step 2: Convert to fraction form
    16,983/25,477.38 = 5,293.89/x
  3. Step 3: Cross multiply
    16,983x = 25,477.38 × 5,293.89
  4. Step 4: Simplify right side
    16,983x = 134,874,447.21
  5. Step 5: Solve for x
    x = 134,874,447.21/16,983
  6. Step 6: Final answer
    x = 7,941.73

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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.