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Finding the Fourth Proportional to 23,154, 31,951.44 and 13,081.20

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Solution

The fourth proportional to 23,154, 31,951.44 and 13,081.20 is: 18,051.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154 : 31,951.44 = 13,081.20 : x
  2. Step 2: Convert to fraction form
    23,154/31,951.44 = 13,081.20/x
  3. Step 3: Cross multiply
    23,154x = 31,951.44 × 13,081.20
  4. Step 4: Simplify right side
    23,154x = 417,963,176.93
  5. Step 5: Solve for x
    x = 417,963,176.93/23,154
  6. Step 6: Final answer
    x = 18,051.45

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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.