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Finding the Fourth Proportional to 17,315.98, 25,953.46 and 7,948.12

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Solution

The fourth proportional to 17,315.98, 25,953.46 and 7,948.12 is: 11,912.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,315.98 : 25,953.46 = 7,948.12 : x
  2. Step 2: Convert to fraction form
    17,315.98/25,953.46 = 7,948.12/x
  3. Step 3: Cross multiply
    17,315.98x = 25,953.46 × 7,948.12
  4. Step 4: Simplify right side
    17,315.98x = 206,281,214.50
  5. Step 5: Solve for x
    x = 206,281,214.50/17,315.98
  6. Step 6: Final answer
    x = 11,912.77

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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.