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Finding the Fourth Proportional to 20,965.34, 28,932.69 and 11,405.76

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Solution

The fourth proportional to 20,965.34, 28,932.69 and 11,405.76 is: 15,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.34 : 28,932.69 = 11,405.76 : x
  2. Step 2: Convert to fraction form
    20,965.34/28,932.69 = 11,405.76/x
  3. Step 3: Cross multiply
    20,965.34x = 28,932.69 × 11,405.76
  4. Step 4: Simplify right side
    20,965.34x = 329,999,318.29
  5. Step 5: Solve for x
    x = 329,999,318.29/20,965.34
  6. Step 6: Final answer
    x = 15,740.23

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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.