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Finding the Fourth Proportional to 14,480.82, 21,725.55 and 8,320.50

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Solution

The fourth proportional to 14,480.82, 21,725.55 and 8,320.50 is: 12,483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.82 : 21,725.55 = 8,320.50 : x
  2. Step 2: Convert to fraction form
    14,480.82/21,725.55 = 8,320.50/x
  3. Step 3: Cross multiply
    14,480.82x = 21,725.55 × 8,320.50
  4. Step 4: Simplify right side
    14,480.82x = 180,767,438.78
  5. Step 5: Solve for x
    x = 180,767,438.78/14,480.82
  6. Step 6: Final answer
    x = 12,483.23

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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.