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Finding the Fourth Proportional to 22,953.96, 34,426.80 and 6,311.84

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Solution

The fourth proportional to 22,953.96, 34,426.80 and 6,311.84 is: 9,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.96 : 34,426.80 = 6,311.84 : x
  2. Step 2: Convert to fraction form
    22,953.96/34,426.80 = 6,311.84/x
  3. Step 3: Cross multiply
    22,953.96x = 34,426.80 × 6,311.84
  4. Step 4: Simplify right side
    22,953.96x = 217,296,281.18
  5. Step 5: Solve for x
    x = 217,296,281.18/22,953.96
  6. Step 6: Final answer
    x = 9,466.61

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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.