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Finding the Fourth Proportional to 25,178.82, 37,769.07 and 7,648.59

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Solution

The fourth proportional to 25,178.82, 37,769.07 and 7,648.59 is: 11,473.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,178.82 : 37,769.07 = 7,648.59 : x
  2. Step 2: Convert to fraction form
    25,178.82/37,769.07 = 7,648.59/x
  3. Step 3: Cross multiply
    25,178.82x = 37,769.07 × 7,648.59
  4. Step 4: Simplify right side
    25,178.82x = 288,880,258.40
  5. Step 5: Solve for x
    x = 288,880,258.40/25,178.82
  6. Step 6: Final answer
    x = 11,473.15

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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.