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Finding the Fourth Proportional to 27,496.50, 41,244.75 and 9,966.35

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Solution

The fourth proportional to 27,496.50, 41,244.75 and 9,966.35 is: 14,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,496.50 : 41,244.75 = 9,966.35 : x
  2. Step 2: Convert to fraction form
    27,496.50/41,244.75 = 9,966.35/x
  3. Step 3: Cross multiply
    27,496.50x = 41,244.75 × 9,966.35
  4. Step 4: Simplify right side
    27,496.50x = 411,059,407.94
  5. Step 5: Solve for x
    x = 411,059,407.94/27,496.50
  6. Step 6: Final answer
    x = 14,949.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.