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Finding the Fourth Proportional to 27,780.45, 41,675.00 and 9,056.14

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Solution

The fourth proportional to 27,780.45, 41,675.00 and 9,056.14 is: 13,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.45 : 41,675.00 = 9,056.14 : x
  2. Step 2: Convert to fraction form
    27,780.45/41,675.00 = 9,056.14/x
  3. Step 3: Cross multiply
    27,780.45x = 41,675.00 × 9,056.14
  4. Step 4: Simplify right side
    27,780.45x = 377,414,485.03
  5. Step 5: Solve for x
    x = 377,414,485.03/27,780.45
  6. Step 6: Final answer
    x = 13,585.62

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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.