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Finding the Fourth Proportional to 25,806.01, 38,709.41 and 11,765.47

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Solution

The fourth proportional to 25,806.01, 38,709.41 and 11,765.47 is: 17,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.01 : 38,709.41 = 11,765.47 : x
  2. Step 2: Convert to fraction form
    25,806.01/38,709.41 = 11,765.47/x
  3. Step 3: Cross multiply
    25,806.01x = 38,709.41 × 11,765.47
  4. Step 4: Simplify right side
    25,806.01x = 455,434,246.47
  5. Step 5: Solve for x
    x = 455,434,246.47/25,806.01
  6. Step 6: Final answer
    x = 17,648.38

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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.