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Finding the Fourth Proportional to 21,705, 29,954.40 and 12,273.60

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Solution

The fourth proportional to 21,705, 29,954.40 and 12,273.60 is: 16,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705 : 29,954.40 = 12,273.60 : x
  2. Step 2: Convert to fraction form
    21,705/29,954.40 = 12,273.60/x
  3. Step 3: Cross multiply
    21,705x = 29,954.40 × 12,273.60
  4. Step 4: Simplify right side
    21,705x = 367,648,323.84
  5. Step 5: Solve for x
    x = 367,648,323.84/21,705
  6. Step 6: Final answer
    x = 16,938.42

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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.