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Finding the Fourth Proportional to 18,642.25, 25,725.55 and 10,678.94

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Solution

The fourth proportional to 18,642.25, 25,725.55 and 10,678.94 is: 14,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.25 : 25,725.55 = 10,678.94 : x
  2. Step 2: Convert to fraction form
    18,642.25/25,725.55 = 10,678.94/x
  3. Step 3: Cross multiply
    18,642.25x = 25,725.55 × 10,678.94
  4. Step 4: Simplify right side
    18,642.25x = 274,721,566.09
  5. Step 5: Solve for x
    x = 274,721,566.09/18,642.25
  6. Step 6: Final answer
    x = 14,736.50

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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.