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Finding the Fourth Proportional to 18,677.76, 25,774.94 and 10,294.26

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Solution

The fourth proportional to 18,677.76, 25,774.94 and 10,294.26 is: 14,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.76 : 25,774.94 = 10,294.26 : x
  2. Step 2: Convert to fraction form
    18,677.76/25,774.94 = 10,294.26/x
  3. Step 3: Cross multiply
    18,677.76x = 25,774.94 × 10,294.26
  4. Step 4: Simplify right side
    18,677.76x = 265,333,933.84
  5. Step 5: Solve for x
    x = 265,333,933.84/18,677.76
  6. Step 6: Final answer
    x = 14,205.88

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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.