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Finding the Fourth Proportional to 27,718.12, 41,562.06 and 9,946.36

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Solution

The fourth proportional to 27,718.12, 41,562.06 and 9,946.36 is: 14,914.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,718.12 : 41,562.06 = 9,946.36 : x
  2. Step 2: Convert to fraction form
    27,718.12/41,562.06 = 9,946.36/x
  3. Step 3: Cross multiply
    27,718.12x = 41,562.06 × 9,946.36
  4. Step 4: Simplify right side
    27,718.12x = 413,391,211.10
  5. Step 5: Solve for x
    x = 413,391,211.10/27,718.12
  6. Step 6: Final answer
    x = 14,914.11

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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.