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Finding the Fourth Proportional to 20,038.69, 27,651 and 11,084.98

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Solution

The fourth proportional to 20,038.69, 27,651 and 11,084.98 is: 15,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.69 : 27,651 = 11,084.98 : x
  2. Step 2: Convert to fraction form
    20,038.69/27,651 = 11,084.98/x
  3. Step 3: Cross multiply
    20,038.69x = 27,651 × 11,084.98
  4. Step 4: Simplify right side
    20,038.69x = 306,510,712.85
  5. Step 5: Solve for x
    x = 306,510,712.85/20,038.69
  6. Step 6: Final answer
    x = 15,295.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.