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Finding the Fourth Proportional to 25,896.79, 38,846.40 and 9,264.70

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Solution

The fourth proportional to 25,896.79, 38,846.40 and 9,264.70 is: 13,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.79 : 38,846.40 = 9,264.70 : x
  2. Step 2: Convert to fraction form
    25,896.79/38,846.40 = 9,264.70/x
  3. Step 3: Cross multiply
    25,896.79x = 38,846.40 × 9,264.70
  4. Step 4: Simplify right side
    25,896.79x = 359,900,242.08
  5. Step 5: Solve for x
    x = 359,900,242.08/25,896.79
  6. Step 6: Final answer
    x = 13,897.48

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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.