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Finding the Fourth Proportional to 20,188.32, 27,859.50 and 11,235.66

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Solution

The fourth proportional to 20,188.32, 27,859.50 and 11,235.66 is: 15,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.32 : 27,859.50 = 11,235.66 : x
  2. Step 2: Convert to fraction form
    20,188.32/27,859.50 = 11,235.66/x
  3. Step 3: Cross multiply
    20,188.32x = 27,859.50 × 11,235.66
  4. Step 4: Simplify right side
    20,188.32x = 313,019,869.77
  5. Step 5: Solve for x
    x = 313,019,869.77/20,188.32
  6. Step 6: Final answer
    x = 15,505.00

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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.