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Finding the Fourth Proportional to 27,775.70, 41,670.15 and 9,055.86

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Solution

The fourth proportional to 27,775.70, 41,670.15 and 9,055.86 is: 13,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.70 : 41,670.15 = 9,055.86 : x
  2. Step 2: Convert to fraction form
    27,775.70/41,670.15 = 9,055.86/x
  3. Step 3: Cross multiply
    27,775.70x = 41,670.15 × 9,055.86
  4. Step 4: Simplify right side
    27,775.70x = 377,359,044.58
  5. Step 5: Solve for x
    x = 377,359,044.58/27,775.70
  6. Step 6: Final answer
    x = 13,585.94

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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.