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Finding the Fourth Proportional to 27,640.19, 41,469.05 and 9,870.46

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Solution

The fourth proportional to 27,640.19, 41,469.05 and 9,870.46 is: 14,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.19 : 41,469.05 = 9,870.46 : x
  2. Step 2: Convert to fraction form
    27,640.19/41,469.05 = 9,870.46/x
  3. Step 3: Cross multiply
    27,640.19x = 41,469.05 × 9,870.46
  4. Step 4: Simplify right side
    27,640.19x = 409,318,599.26
  5. Step 5: Solve for x
    x = 409,318,599.26/27,640.19
  6. Step 6: Final answer
    x = 14,808.82

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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.