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Finding the Fourth Proportional to 26,534.28, 39,804 and 9,890.42

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Solution

The fourth proportional to 26,534.28, 39,804 and 9,890.42 is: 14,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.28 : 39,804 = 9,890.42 : x
  2. Step 2: Convert to fraction form
    26,534.28/39,804 = 9,890.42/x
  3. Step 3: Cross multiply
    26,534.28x = 39,804 × 9,890.42
  4. Step 4: Simplify right side
    26,534.28x = 393,678,277.68
  5. Step 5: Solve for x
    x = 393,678,277.68/26,534.28
  6. Step 6: Final answer
    x = 14,836.59

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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.