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Finding the Fourth Proportional to 11,898.30, 17,847.45 and 8,204.70

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Solution

The fourth proportional to 11,898.30, 17,847.45 and 8,204.70 is: 12,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.30 : 17,847.45 = 8,204.70 : x
  2. Step 2: Convert to fraction form
    11,898.30/17,847.45 = 8,204.70/x
  3. Step 3: Cross multiply
    11,898.30x = 17,847.45 × 8,204.70
  4. Step 4: Simplify right side
    11,898.30x = 146,432,973.02
  5. Step 5: Solve for x
    x = 146,432,973.02/11,898.30
  6. Step 6: Final answer
    x = 12,307.05

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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.