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Finding the Fourth Proportional to 25,338.79, 38,014.77 and 9,543.94

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Solution

The fourth proportional to 25,338.79, 38,014.77 and 9,543.94 is: 14,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338.79 : 38,014.77 = 9,543.94 : x
  2. Step 2: Convert to fraction form
    25,338.79/38,014.77 = 9,543.94/x
  3. Step 3: Cross multiply
    25,338.79x = 38,014.77 × 9,543.94
  4. Step 4: Simplify right side
    25,338.79x = 362,810,493.92
  5. Step 5: Solve for x
    x = 362,810,493.92/25,338.79
  6. Step 6: Final answer
    x = 14,318.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.