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Finding the Fourth Proportional to 25,964.50, 38,953.23 and 7,496.50

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Solution

The fourth proportional to 25,964.50, 38,953.23 and 7,496.50 is: 11,246.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964.50 : 38,953.23 = 7,496.50 : x
  2. Step 2: Convert to fraction form
    25,964.50/38,953.23 = 7,496.50/x
  3. Step 3: Cross multiply
    25,964.50x = 38,953.23 × 7,496.50
  4. Step 4: Simplify right side
    25,964.50x = 292,012,888.70
  5. Step 5: Solve for x
    x = 292,012,888.70/25,964.50
  6. Step 6: Final answer
    x = 11,246.62

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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.