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Finding the Fourth Proportional to 27,702.96, 41,555.28 and 10,835.30

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Solution

The fourth proportional to 27,702.96, 41,555.28 and 10,835.30 is: 16,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702.96 : 41,555.28 = 10,835.30 : x
  2. Step 2: Convert to fraction form
    27,702.96/41,555.28 = 10,835.30/x
  3. Step 3: Cross multiply
    27,702.96x = 41,555.28 × 10,835.30
  4. Step 4: Simplify right side
    27,702.96x = 450,263,717.61
  5. Step 5: Solve for x
    x = 450,263,717.61/27,702.96
  6. Step 6: Final answer
    x = 16,253.27

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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.