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Finding the Fourth Proportional to 14,463.28, 21,677.16 and 8,228.50

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Solution

The fourth proportional to 14,463.28, 21,677.16 and 8,228.50 is: 12,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.28 : 21,677.16 = 8,228.50 : x
  2. Step 2: Convert to fraction form
    14,463.28/21,677.16 = 8,228.50/x
  3. Step 3: Cross multiply
    14,463.28x = 21,677.16 × 8,228.50
  4. Step 4: Simplify right side
    14,463.28x = 178,370,511.06
  5. Step 5: Solve for x
    x = 178,370,511.06/14,463.28
  6. Step 6: Final answer
    x = 12,332.65

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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.