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Finding the Fourth Proportional to 25,492.87, 38,239.31 and 7,964.06

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Solution

The fourth proportional to 25,492.87, 38,239.31 and 7,964.06 is: 11,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,492.87 : 38,239.31 = 7,964.06 : x
  2. Step 2: Convert to fraction form
    25,492.87/38,239.31 = 7,964.06/x
  3. Step 3: Cross multiply
    25,492.87x = 38,239.31 × 7,964.06
  4. Step 4: Simplify right side
    25,492.87x = 304,540,214.98
  5. Step 5: Solve for x
    x = 304,540,214.98/25,492.87
  6. Step 6: Final answer
    x = 11,946.09

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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.