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Finding the Fourth Proportional to 23,164.08, 31,957.04 and 14,196.16

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Solution

The fourth proportional to 23,164.08, 31,957.04 and 14,196.16 is: 19,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.08 : 31,957.04 = 14,196.16 : x
  2. Step 2: Convert to fraction form
    23,164.08/31,957.04 = 14,196.16/x
  3. Step 3: Cross multiply
    23,164.08x = 31,957.04 × 14,196.16
  4. Step 4: Simplify right side
    23,164.08x = 453,667,252.97
  5. Step 5: Solve for x
    x = 453,667,252.97/23,164.08
  6. Step 6: Final answer
    x = 19,584.95

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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.