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Finding the Fourth Proportional to 23,560.39, 32,513.52 and 12,950.20

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Solution

The fourth proportional to 23,560.39, 32,513.52 and 12,950.20 is: 17,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,560.39 : 32,513.52 = 12,950.20 : x
  2. Step 2: Convert to fraction form
    23,560.39/32,513.52 = 12,950.20/x
  3. Step 3: Cross multiply
    23,560.39x = 32,513.52 × 12,950.20
  4. Step 4: Simplify right side
    23,560.39x = 421,056,586.70
  5. Step 5: Solve for x
    x = 421,056,586.70/23,560.39
  6. Step 6: Final answer
    x = 17,871.38

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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.