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Finding the Fourth Proportional to 27,780.67, 41,673.53 and 9,055.90

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Solution

The fourth proportional to 27,780.67, 41,673.53 and 9,055.90 is: 13,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,780.67 : 41,673.53 = 9,055.90 : x
  2. Step 2: Convert to fraction form
    27,780.67/41,673.53 = 9,055.90/x
  3. Step 3: Cross multiply
    27,780.67x = 41,673.53 × 9,055.90
  4. Step 4: Simplify right side
    27,780.67x = 377,391,170.86
  5. Step 5: Solve for x
    x = 377,391,170.86/27,780.67
  6. Step 6: Final answer
    x = 13,584.67

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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.