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Finding the Fourth Proportional to 23,154, 31,960.35 and 14,429.49

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Solution

The fourth proportional to 23,154, 31,960.35 and 14,429.49 is: 19,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154 : 31,960.35 = 14,429.49 : x
  2. Step 2: Convert to fraction form
    23,154/31,960.35 = 14,429.49/x
  3. Step 3: Cross multiply
    23,154x = 31,960.35 × 14,429.49
  4. Step 4: Simplify right side
    23,154x = 461,171,550.72
  5. Step 5: Solve for x
    x = 461,171,550.72/23,154
  6. Step 6: Final answer
    x = 19,917.58

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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.