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Finding the Fourth Proportional to 27,102.83, 40,645.13 and 9,087.41

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Solution

The fourth proportional to 27,102.83, 40,645.13 and 9,087.41 is: 13,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.83 : 40,645.13 = 9,087.41 : x
  2. Step 2: Convert to fraction form
    27,102.83/40,645.13 = 9,087.41/x
  3. Step 3: Cross multiply
    27,102.83x = 40,645.13 × 9,087.41
  4. Step 4: Simplify right side
    27,102.83x = 369,358,915.38
  5. Step 5: Solve for x
    x = 369,358,915.38/27,102.83
  6. Step 6: Final answer
    x = 13,628.06

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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.