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Finding the Fourth Proportional to 21,810.15, 30,094.38 and 12,856.41

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Solution

The fourth proportional to 21,810.15, 30,094.38 and 12,856.41 is: 17,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.15 : 30,094.38 = 12,856.41 : x
  2. Step 2: Convert to fraction form
    21,810.15/30,094.38 = 12,856.41/x
  3. Step 3: Cross multiply
    21,810.15x = 30,094.38 × 12,856.41
  4. Step 4: Simplify right side
    21,810.15x = 386,905,687.98
  5. Step 5: Solve for x
    x = 386,905,687.98/21,810.15
  6. Step 6: Final answer
    x = 17,739.71

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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.