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Finding the Fourth Proportional to 25,896.70, 38,853.25 and 9,256.36

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Solution

The fourth proportional to 25,896.70, 38,853.25 and 9,256.36 is: 13,887.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.70 : 38,853.25 = 9,256.36 : x
  2. Step 2: Convert to fraction form
    25,896.70/38,853.25 = 9,256.36/x
  3. Step 3: Cross multiply
    25,896.70x = 38,853.25 × 9,256.36
  4. Step 4: Simplify right side
    25,896.70x = 359,639,673.81
  5. Step 5: Solve for x
    x = 359,639,673.81/25,896.70
  6. Step 6: Final answer
    x = 13,887.47

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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.