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Finding the Fourth Proportional to 27,300.96, 40,957.20 and 8,582.90

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Solution

The fourth proportional to 27,300.96, 40,957.20 and 8,582.90 is: 12,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,300.96 : 40,957.20 = 8,582.90 : x
  2. Step 2: Convert to fraction form
    27,300.96/40,957.20 = 8,582.90/x
  3. Step 3: Cross multiply
    27,300.96x = 40,957.20 × 8,582.90
  4. Step 4: Simplify right side
    27,300.96x = 351,531,347.09
  5. Step 5: Solve for x
    x = 351,531,347.09/27,300.96
  6. Step 6: Final answer
    x = 12,876.15

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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.