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Finding the Fourth Proportional to 21,664.50, 29,897.02 and 11,728.50

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Solution

The fourth proportional to 21,664.50, 29,897.02 and 11,728.50 is: 16,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.50 : 29,897.02 = 11,728.50 : x
  2. Step 2: Convert to fraction form
    21,664.50/29,897.02 = 11,728.50/x
  3. Step 3: Cross multiply
    21,664.50x = 29,897.02 × 11,728.50
  4. Step 4: Simplify right side
    21,664.50x = 350,647,199.07
  5. Step 5: Solve for x
    x = 350,647,199.07/21,664.50
  6. Step 6: Final answer
    x = 16,185.34

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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.