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Finding the Fourth Proportional to 16,874.35, 23,289.45 and 9,804.88

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Solution

The fourth proportional to 16,874.35, 23,289.45 and 9,804.88 is: 13,532.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.35 : 23,289.45 = 9,804.88 : x
  2. Step 2: Convert to fraction form
    16,874.35/23,289.45 = 9,804.88/x
  3. Step 3: Cross multiply
    16,874.35x = 23,289.45 × 9,804.88
  4. Step 4: Simplify right side
    16,874.35x = 228,350,262.52
  5. Step 5: Solve for x
    x = 228,350,262.52/16,874.35
  6. Step 6: Final answer
    x = 13,532.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.