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Finding the Fourth Proportional to 16,603.74, 24,893.64 and 7,830

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Solution

The fourth proportional to 16,603.74, 24,893.64 and 7,830 is: 11,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,603.74 : 24,893.64 = 7,830 : x
  2. Step 2: Convert to fraction form
    16,603.74/24,893.64 = 7,830/x
  3. Step 3: Cross multiply
    16,603.74x = 24,893.64 × 7,830
  4. Step 4: Simplify right side
    16,603.74x = 194,917,201.20
  5. Step 5: Solve for x
    x = 194,917,201.20/16,603.74
  6. Step 6: Final answer
    x = 11,739.36

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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.