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Finding the Fourth Proportional to 21,782.25, 30,059.51 and 11,846.25

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Solution

The fourth proportional to 21,782.25, 30,059.51 and 11,846.25 is: 16,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,782.25 : 30,059.51 = 11,846.25 : x
  2. Step 2: Convert to fraction form
    21,782.25/30,059.51 = 11,846.25/x
  3. Step 3: Cross multiply
    21,782.25x = 30,059.51 × 11,846.25
  4. Step 4: Simplify right side
    21,782.25x = 356,092,411.11
  5. Step 5: Solve for x
    x = 356,092,411.11/21,782.25
  6. Step 6: Final answer
    x = 16,347.83

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1.5x scale

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.