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Finding the Fourth Proportional to 23,002.34, 34,490.55 and 8,002.58

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Solution

The fourth proportional to 23,002.34, 34,490.55 and 8,002.58 is: 11,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.34 : 34,490.55 = 8,002.58 : x
  2. Step 2: Convert to fraction form
    23,002.34/34,490.55 = 8,002.58/x
  3. Step 3: Cross multiply
    23,002.34x = 34,490.55 × 8,002.58
  4. Step 4: Simplify right side
    23,002.34x = 276,013,385.62
  5. Step 5: Solve for x
    x = 276,013,385.62/23,002.34
  6. Step 6: Final answer
    x = 11,999.36

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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.