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Finding the Fourth Proportional to 18,677.24, 25,774.50 and 10,293.76

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Solution

The fourth proportional to 18,677.24, 25,774.50 and 10,293.76 is: 14,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677.24 : 25,774.50 = 10,293.76 : x
  2. Step 2: Convert to fraction form
    18,677.24/25,774.50 = 10,293.76/x
  3. Step 3: Cross multiply
    18,677.24x = 25,774.50 × 10,293.76
  4. Step 4: Simplify right side
    18,677.24x = 265,316,517.12
  5. Step 5: Solve for x
    x = 265,316,517.12/18,677.24
  6. Step 6: Final answer
    x = 14,205.34

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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.