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Finding the Fourth Proportional to 27,006, 40,506.96 and 9,477

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Solution

The fourth proportional to 27,006, 40,506.96 and 9,477 is: 14,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006 : 40,506.96 = 9,477 : x
  2. Step 2: Convert to fraction form
    27,006/40,506.96 = 9,477/x
  3. Step 3: Cross multiply
    27,006x = 40,506.96 × 9,477
  4. Step 4: Simplify right side
    27,006x = 383,884,459.92
  5. Step 5: Solve for x
    x = 383,884,459.92/27,006
  6. Step 6: Final answer
    x = 14,214.78

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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.