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Finding the Fourth Proportional to 25,768.50, 38,654.19 and 7,301.94

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Solution

The fourth proportional to 25,768.50, 38,654.19 and 7,301.94 is: 10,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,768.50 : 38,654.19 = 7,301.94 : x
  2. Step 2: Convert to fraction form
    25,768.50/38,654.19 = 7,301.94/x
  3. Step 3: Cross multiply
    25,768.50x = 38,654.19 × 7,301.94
  4. Step 4: Simplify right side
    25,768.50x = 282,250,576.13
  5. Step 5: Solve for x
    x = 282,250,576.13/25,768.50
  6. Step 6: Final answer
    x = 10,953.32

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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.