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Finding the Fourth Proportional to 15,900.21, 21,942 and 8,826.48

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Solution

The fourth proportional to 15,900.21, 21,942 and 8,826.48 is: 12,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,900.21 : 21,942 = 8,826.48 : x
  2. Step 2: Convert to fraction form
    15,900.21/21,942 = 8,826.48/x
  3. Step 3: Cross multiply
    15,900.21x = 21,942 × 8,826.48
  4. Step 4: Simplify right side
    15,900.21x = 193,670,624.16
  5. Step 5: Solve for x
    x = 193,670,624.16/15,900.21
  6. Step 6: Final answer
    x = 12,180.38

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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.