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Finding the Fourth Proportional to 21,719, 29,972.25 and 12,287.36

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Solution

The fourth proportional to 21,719, 29,972.25 and 12,287.36 is: 16,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,719 : 29,972.25 = 12,287.36 : x
  2. Step 2: Convert to fraction form
    21,719/29,972.25 = 12,287.36/x
  3. Step 3: Cross multiply
    21,719x = 29,972.25 × 12,287.36
  4. Step 4: Simplify right side
    21,719x = 368,279,825.76
  5. Step 5: Solve for x
    x = 368,279,825.76/21,719
  6. Step 6: Final answer
    x = 16,956.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.