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Finding the Fourth Proportional to 23,890.38, 35,835.57 and 8,308

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Solution

The fourth proportional to 23,890.38, 35,835.57 and 8,308 is: 12,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,890.38 : 35,835.57 = 8,308 : x
  2. Step 2: Convert to fraction form
    23,890.38/35,835.57 = 8,308/x
  3. Step 3: Cross multiply
    23,890.38x = 35,835.57 × 8,308
  4. Step 4: Simplify right side
    23,890.38x = 297,721,874.02
  5. Step 5: Solve for x
    x = 297,721,874.02/23,890.38
  6. Step 6: Final answer
    x = 12,462.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.