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Finding the Fourth Proportional to 14,872.88, 20,529.17 and 9,567.70

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Solution

The fourth proportional to 14,872.88, 20,529.17 and 9,567.70 is: 13,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.88 : 20,529.17 = 9,567.70 : x
  2. Step 2: Convert to fraction form
    14,872.88/20,529.17 = 9,567.70/x
  3. Step 3: Cross multiply
    14,872.88x = 20,529.17 × 9,567.70
  4. Step 4: Simplify right side
    14,872.88x = 196,416,939.81
  5. Step 5: Solve for x
    x = 196,416,939.81/14,872.88
  6. Step 6: Final answer
    x = 13,206.38

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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.