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Finding the Fourth Proportional to 14,658, 20,228.76 and 8,034

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Solution

The fourth proportional to 14,658, 20,228.76 and 8,034 is: 11,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658 : 20,228.76 = 8,034 : x
  2. Step 2: Convert to fraction form
    14,658/20,228.76 = 8,034/x
  3. Step 3: Cross multiply
    14,658x = 20,228.76 × 8,034
  4. Step 4: Simplify right side
    14,658x = 162,517,857.84
  5. Step 5: Solve for x
    x = 162,517,857.84/14,658
  6. Step 6: Final answer
    x = 11,087.31

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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.