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Finding the Fourth Proportional to 16,303, 22,498.14 and 8,851

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Solution

The fourth proportional to 16,303, 22,498.14 and 8,851 is: 12,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,303 : 22,498.14 = 8,851 : x
  2. Step 2: Convert to fraction form
    16,303/22,498.14 = 8,851/x
  3. Step 3: Cross multiply
    16,303x = 22,498.14 × 8,851
  4. Step 4: Simplify right side
    16,303x = 199,131,037.14
  5. Step 5: Solve for x
    x = 199,131,037.14/16,303
  6. Step 6: Final answer
    x = 12,214.38

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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.