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Finding the Fourth Proportional to 25,896.68, 38,844.70 and 7,428.68

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Solution

The fourth proportional to 25,896.68, 38,844.70 and 7,428.68 is: 11,142.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.68 : 38,844.70 = 7,428.68 : x
  2. Step 2: Convert to fraction form
    25,896.68/38,844.70 = 7,428.68/x
  3. Step 3: Cross multiply
    25,896.68x = 38,844.70 × 7,428.68
  4. Step 4: Simplify right side
    25,896.68x = 288,564,846.00
  5. Step 5: Solve for x
    x = 288,564,846.00/25,896.68
  6. Step 6: Final answer
    x = 11,142.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.