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Finding the Fourth Proportional to 23,827.40, 35,749.06 and 9,040.58

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Solution

The fourth proportional to 23,827.40, 35,749.06 and 9,040.58 is: 13,563.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.40 : 35,749.06 = 9,040.58 : x
  2. Step 2: Convert to fraction form
    23,827.40/35,749.06 = 9,040.58/x
  3. Step 3: Cross multiply
    23,827.40x = 35,749.06 × 9,040.58
  4. Step 4: Simplify right side
    23,827.40x = 323,192,012.91
  5. Step 5: Solve for x
    x = 323,192,012.91/23,827.40
  6. Step 6: Final answer
    x = 13,563.88

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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.