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Finding the Fourth Proportional to 16,751, 25,138.02 and 5,807

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Solution

The fourth proportional to 16,751, 25,138.02 and 5,807 is: 8,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,751 : 25,138.02 = 5,807 : x
  2. Step 2: Convert to fraction form
    16,751/25,138.02 = 5,807/x
  3. Step 3: Cross multiply
    16,751x = 25,138.02 × 5,807
  4. Step 4: Simplify right side
    16,751x = 145,976,482.14
  5. Step 5: Solve for x
    x = 145,976,482.14/16,751
  6. Step 6: Final answer
    x = 8,714.49

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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.