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Finding the Fourth Proportional to 23,537.46, 35,311.05 and 6,898.04

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Solution

The fourth proportional to 23,537.46, 35,311.05 and 6,898.04 is: 10,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,537.46 : 35,311.05 = 6,898.04 : x
  2. Step 2: Convert to fraction form
    23,537.46/35,311.05 = 6,898.04/x
  3. Step 3: Cross multiply
    23,537.46x = 35,311.05 × 6,898.04
  4. Step 4: Simplify right side
    23,537.46x = 243,577,035.34
  5. Step 5: Solve for x
    x = 243,577,035.34/23,537.46
  6. Step 6: Final answer
    x = 10,348.48

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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.