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Finding the Fourth Proportional to 21,382.94, 29,507.87 and 11,953.32

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Solution

The fourth proportional to 21,382.94, 29,507.87 and 11,953.32 is: 16,495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.94 : 29,507.87 = 11,953.32 : x
  2. Step 2: Convert to fraction form
    21,382.94/29,507.87 = 11,953.32/x
  3. Step 3: Cross multiply
    21,382.94x = 29,507.87 × 11,953.32
  4. Step 4: Simplify right side
    21,382.94x = 352,717,042.51
  5. Step 5: Solve for x
    x = 352,717,042.51/21,382.94
  6. Step 6: Final answer
    x = 16,495.26

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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.