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Finding the Fourth Proportional to 14,288.67, 19,725.20 and 9,516.55

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Solution

The fourth proportional to 14,288.67, 19,725.20 and 9,516.55 is: 13,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.67 : 19,725.20 = 9,516.55 : x
  2. Step 2: Convert to fraction form
    14,288.67/19,725.20 = 9,516.55/x
  3. Step 3: Cross multiply
    14,288.67x = 19,725.20 × 9,516.55
  4. Step 4: Simplify right side
    14,288.67x = 187,715,852.06
  5. Step 5: Solve for x
    x = 187,715,852.06/14,288.67
  6. Step 6: Final answer
    x = 13,137.39

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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.