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Finding the Fourth Proportional to 21,384, 29,509.92 and 11,952.36

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Solution

The fourth proportional to 21,384, 29,509.92 and 11,952.36 is: 16,494.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 29,509.92 = 11,952.36 : x
  2. Step 2: Convert to fraction form
    21,384/29,509.92 = 11,952.36/x
  3. Step 3: Cross multiply
    21,384x = 29,509.92 × 11,952.36
  4. Step 4: Simplify right side
    21,384x = 352,713,187.41
  5. Step 5: Solve for x
    x = 352,713,187.41/21,384
  6. Step 6: Final answer
    x = 16,494.26

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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.