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Finding the Fourth Proportional to 25,896.01, 38,852.16 and 9,255.70

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Solution

The fourth proportional to 25,896.01, 38,852.16 and 9,255.70 is: 13,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.01 : 38,852.16 = 9,255.70 : x
  2. Step 2: Convert to fraction form
    25,896.01/38,852.16 = 9,255.70/x
  3. Step 3: Cross multiply
    25,896.01x = 38,852.16 × 9,255.70
  4. Step 4: Simplify right side
    25,896.01x = 359,603,937.31
  5. Step 5: Solve for x
    x = 359,603,937.31/25,896.01
  6. Step 6: Final answer
    x = 13,886.46

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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.