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Finding the Fourth Proportional to 27,790.88, 41,686.38 and 7,014.38

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Solution

The fourth proportional to 27,790.88, 41,686.38 and 7,014.38 is: 10,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,790.88 : 41,686.38 = 7,014.38 : x
  2. Step 2: Convert to fraction form
    27,790.88/41,686.38 = 7,014.38/x
  3. Step 3: Cross multiply
    27,790.88x = 41,686.38 × 7,014.38
  4. Step 4: Simplify right side
    27,790.88x = 292,403,901.71
  5. Step 5: Solve for x
    x = 292,403,901.71/27,790.88
  6. Step 6: Final answer
    x = 10,521.58

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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.