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Finding the Fourth Proportional to 27,340.80, 40,990.71 and 11,564.34

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Solution

The fourth proportional to 27,340.80, 40,990.71 and 11,564.34 is: 17,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340.80 : 40,990.71 = 11,564.34 : x
  2. Step 2: Convert to fraction form
    27,340.80/40,990.71 = 11,564.34/x
  3. Step 3: Cross multiply
    27,340.80x = 40,990.71 × 11,564.34
  4. Step 4: Simplify right side
    27,340.80x = 474,030,507.28
  5. Step 5: Solve for x
    x = 474,030,507.28/27,340.80
  6. Step 6: Final answer
    x = 17,337.84

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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.