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Finding the Fourth Proportional to 23,141.21, 31,935.02 and 12,530.84

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Solution

The fourth proportional to 23,141.21, 31,935.02 and 12,530.84 is: 17,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.21 : 31,935.02 = 12,530.84 : x
  2. Step 2: Convert to fraction form
    23,141.21/31,935.02 = 12,530.84/x
  3. Step 3: Cross multiply
    23,141.21x = 31,935.02 × 12,530.84
  4. Step 4: Simplify right side
    23,141.21x = 400,172,523.44
  5. Step 5: Solve for x
    x = 400,172,523.44/23,141.21
  6. Step 6: Final answer
    x = 17,292.64

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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.