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Finding the Fourth Proportional to 14,590, 20,134.20 and 7,966

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Solution

The fourth proportional to 14,590, 20,134.20 and 7,966 is: 10,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590 : 20,134.20 = 7,966 : x
  2. Step 2: Convert to fraction form
    14,590/20,134.20 = 7,966/x
  3. Step 3: Cross multiply
    14,590x = 20,134.20 × 7,966
  4. Step 4: Simplify right side
    14,590x = 160,389,037.20
  5. Step 5: Solve for x
    x = 160,389,037.20/14,590
  6. Step 6: Final answer
    x = 10,993.08

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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.