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Finding the Fourth Proportional to 19,922.50, 27,496.74 and 11,539

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Solution

The fourth proportional to 19,922.50, 27,496.74 and 11,539 is: 15,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.50 : 27,496.74 = 11,539 : x
  2. Step 2: Convert to fraction form
    19,922.50/27,496.74 = 11,539/x
  3. Step 3: Cross multiply
    19,922.50x = 27,496.74 × 11,539
  4. Step 4: Simplify right side
    19,922.50x = 317,284,882.86
  5. Step 5: Solve for x
    x = 317,284,882.86/19,922.50
  6. Step 6: Final answer
    x = 15,925.96

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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.