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Finding the Fourth Proportional to 19,957.62, 29,862.24 and 12,527.30

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Solution

The fourth proportional to 19,957.62, 29,862.24 and 12,527.30 is: 18,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.62 : 29,862.24 = 12,527.30 : x
  2. Step 2: Convert to fraction form
    19,957.62/29,862.24 = 12,527.30/x
  3. Step 3: Cross multiply
    19,957.62x = 29,862.24 × 12,527.30
  4. Step 4: Simplify right side
    19,957.62x = 374,093,239.15
  5. Step 5: Solve for x
    x = 374,093,239.15/19,957.62
  6. Step 6: Final answer
    x = 18,744.38

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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.