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Finding the Fourth Proportional to 25,901.39, 38,846.47 and 9,262.58

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Solution

The fourth proportional to 25,901.39, 38,846.47 and 9,262.58 is: 13,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.39 : 38,846.47 = 9,262.58 : x
  2. Step 2: Convert to fraction form
    25,901.39/38,846.47 = 9,262.58/x
  3. Step 3: Cross multiply
    25,901.39x = 38,846.47 × 9,262.58
  4. Step 4: Simplify right side
    25,901.39x = 359,818,536.09
  5. Step 5: Solve for x
    x = 359,818,536.09/25,901.39
  6. Step 6: Final answer
    x = 13,891.86

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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.