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Finding the Fourth Proportional to 23,088.30, 34,631.73 and 8,298.06

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Solution

The fourth proportional to 23,088.30, 34,631.73 and 8,298.06 is: 12,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,088.30 : 34,631.73 = 8,298.06 : x
  2. Step 2: Convert to fraction form
    23,088.30/34,631.73 = 8,298.06/x
  3. Step 3: Cross multiply
    23,088.30x = 34,631.73 × 8,298.06
  4. Step 4: Simplify right side
    23,088.30x = 287,376,173.44
  5. Step 5: Solve for x
    x = 287,376,173.44/23,088.30
  6. Step 6: Final answer
    x = 12,446.83

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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.