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Finding the Fourth Proportional to 29,286.31, 40,421.06 and 19,857.91

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Solution

The fourth proportional to 29,286.31, 40,421.06 and 19,857.91 is: 27,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286.31 : 40,421.06 = 19,857.91 : x
  2. Step 2: Convert to fraction form
    29,286.31/40,421.06 = 19,857.91/x
  3. Step 3: Cross multiply
    29,286.31x = 40,421.06 × 19,857.91
  4. Step 4: Simplify right side
    29,286.31x = 802,677,619.12
  5. Step 5: Solve for x
    x = 802,677,619.12/29,286.31
  6. Step 6: Final answer
    x = 27,407.95

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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.