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Finding the Fourth Proportional to 25,341.84, 38,014.92 and 7,813.44

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Solution

The fourth proportional to 25,341.84, 38,014.92 and 7,813.44 is: 11,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,341.84 : 38,014.92 = 7,813.44 : x
  2. Step 2: Convert to fraction form
    25,341.84/38,014.92 = 7,813.44/x
  3. Step 3: Cross multiply
    25,341.84x = 38,014.92 × 7,813.44
  4. Step 4: Simplify right side
    25,341.84x = 297,027,296.52
  5. Step 5: Solve for x
    x = 297,027,296.52/25,341.84
  6. Step 6: Final answer
    x = 11,720.83

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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.