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Finding the Fourth Proportional to 27,024, 40,533.96 and 9,495

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Solution

The fourth proportional to 27,024, 40,533.96 and 9,495 is: 14,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,024 : 40,533.96 = 9,495 : x
  2. Step 2: Convert to fraction form
    27,024/40,533.96 = 9,495/x
  3. Step 3: Cross multiply
    27,024x = 40,533.96 × 9,495
  4. Step 4: Simplify right side
    27,024x = 384,869,950.20
  5. Step 5: Solve for x
    x = 384,869,950.20/27,024
  6. Step 6: Final answer
    x = 14,241.78

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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.