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Finding the Fourth Proportional to 27,197.66, 40,809.05 and 12,411.11

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Solution

The fourth proportional to 27,197.66, 40,809.05 and 12,411.11 is: 18,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.66 : 40,809.05 = 12,411.11 : x
  2. Step 2: Convert to fraction form
    27,197.66/40,809.05 = 12,411.11/x
  3. Step 3: Cross multiply
    27,197.66x = 40,809.05 × 12,411.11
  4. Step 4: Simplify right side
    27,197.66x = 506,485,608.55
  5. Step 5: Solve for x
    x = 506,485,608.55/27,197.66
  6. Step 6: Final answer
    x = 18,622.40

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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.