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Finding the Fourth Proportional to 25,854.48, 38,745.84 and 11,780.11

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Solution

The fourth proportional to 25,854.48, 38,745.84 and 11,780.11 is: 17,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.48 : 38,745.84 = 11,780.11 : x
  2. Step 2: Convert to fraction form
    25,854.48/38,745.84 = 11,780.11/x
  3. Step 3: Cross multiply
    25,854.48x = 38,745.84 × 11,780.11
  4. Step 4: Simplify right side
    25,854.48x = 456,430,166.33
  5. Step 5: Solve for x
    x = 456,430,166.33/25,854.48
  6. Step 6: Final answer
    x = 17,653.81

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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.