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Finding the Fourth Proportional to 23,159.25, 31,952.34 and 14,202.27

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Solution

The fourth proportional to 23,159.25, 31,952.34 and 14,202.27 is: 19,594.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.25 : 31,952.34 = 14,202.27 : x
  2. Step 2: Convert to fraction form
    23,159.25/31,952.34 = 14,202.27/x
  3. Step 3: Cross multiply
    23,159.25x = 31,952.34 × 14,202.27
  4. Step 4: Simplify right side
    23,159.25x = 453,795,759.81
  5. Step 5: Solve for x
    x = 453,795,759.81/23,159.25
  6. Step 6: Final answer
    x = 19,594.58

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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.