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Finding the Fourth Proportional to 25,505.70, 38,253.02 and 7,973.25

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Solution

The fourth proportional to 25,505.70, 38,253.02 and 7,973.25 is: 11,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,505.70 : 38,253.02 = 7,973.25 : x
  2. Step 2: Convert to fraction form
    25,505.70/38,253.02 = 7,973.25/x
  3. Step 3: Cross multiply
    25,505.70x = 38,253.02 × 7,973.25
  4. Step 4: Simplify right side
    25,505.70x = 305,000,851.85
  5. Step 5: Solve for x
    x = 305,000,851.85/25,505.70
  6. Step 6: Final answer
    x = 11,958.14

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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.