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Finding the Fourth Proportional to 14,237.46, 19,647.68 and 7,949.84

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Solution

The fourth proportional to 14,237.46, 19,647.68 and 7,949.84 is: 10,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.46 : 19,647.68 = 7,949.84 : x
  2. Step 2: Convert to fraction form
    14,237.46/19,647.68 = 7,949.84/x
  3. Step 3: Cross multiply
    14,237.46x = 19,647.68 × 7,949.84
  4. Step 4: Simplify right side
    14,237.46x = 156,195,774.38
  5. Step 5: Solve for x
    x = 156,195,774.38/14,237.46
  6. Step 6: Final answer
    x = 10,970.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.