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Finding the Fourth Proportional to 21,250.64, 31,876 and 8,777.76

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Solution

The fourth proportional to 21,250.64, 31,876 and 8,777.76 is: 13,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,250.64 : 31,876 = 8,777.76 : x
  2. Step 2: Convert to fraction form
    21,250.64/31,876 = 8,777.76/x
  3. Step 3: Cross multiply
    21,250.64x = 31,876 × 8,777.76
  4. Step 4: Simplify right side
    21,250.64x = 279,799,877.76
  5. Step 5: Solve for x
    x = 279,799,877.76/21,250.64
  6. Step 6: Final answer
    x = 13,166.66

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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.