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Finding the Fourth Proportional to 21,735.14, 29,994.71 and 12,301.88

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Solution

The fourth proportional to 21,735.14, 29,994.71 and 12,301.88 is: 16,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.14 : 29,994.71 = 12,301.88 : x
  2. Step 2: Convert to fraction form
    21,735.14/29,994.71 = 12,301.88/x
  3. Step 3: Cross multiply
    21,735.14x = 29,994.71 × 12,301.88
  4. Step 4: Simplify right side
    21,735.14x = 368,991,111.57
  5. Step 5: Solve for x
    x = 368,991,111.57/21,735.14
  6. Step 6: Final answer
    x = 16,976.71

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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.