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Finding the Fourth Proportional to 21,718.44, 29,971.50 and 11,782.44

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Solution

The fourth proportional to 21,718.44, 29,971.50 and 11,782.44 is: 16,259.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,718.44 : 29,971.50 = 11,782.44 : x
  2. Step 2: Convert to fraction form
    21,718.44/29,971.50 = 11,782.44/x
  3. Step 3: Cross multiply
    21,718.44x = 29,971.50 × 11,782.44
  4. Step 4: Simplify right side
    21,718.44x = 353,137,400.46
  5. Step 5: Solve for x
    x = 353,137,400.46/21,718.44
  6. Step 6: Final answer
    x = 16,259.80

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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.