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Finding the Fourth Proportional to 21,407.84, 29,544 and 11,977.28

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Solution

The fourth proportional to 21,407.84, 29,544 and 11,977.28 is: 16,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.84 : 29,544 = 11,977.28 : x
  2. Step 2: Convert to fraction form
    21,407.84/29,544 = 11,977.28/x
  3. Step 3: Cross multiply
    21,407.84x = 29,544 × 11,977.28
  4. Step 4: Simplify right side
    21,407.84x = 353,856,760.32
  5. Step 5: Solve for x
    x = 353,856,760.32/21,407.84
  6. Step 6: Final answer
    x = 16,529.31

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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.