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Finding the Fourth Proportional to 21,267, 31,900.77 and 7,416

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Solution

The fourth proportional to 21,267, 31,900.77 and 7,416 is: 11,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267 : 31,900.77 = 7,416 : x
  2. Step 2: Convert to fraction form
    21,267/31,900.77 = 7,416/x
  3. Step 3: Cross multiply
    21,267x = 31,900.77 × 7,416
  4. Step 4: Simplify right side
    21,267x = 236,576,110.32
  5. Step 5: Solve for x
    x = 236,576,110.32/21,267
  6. Step 6: Final answer
    x = 11,124.09

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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.