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Finding the Fourth Proportional to 10,167.84, 14,033.96 and 6,624.88

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Solution

The fourth proportional to 10,167.84, 14,033.96 and 6,624.88 is: 9,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.84 : 14,033.96 = 6,624.88 : x
  2. Step 2: Convert to fraction form
    10,167.84/14,033.96 = 6,624.88/x
  3. Step 3: Cross multiply
    10,167.84x = 14,033.96 × 6,624.88
  4. Step 4: Simplify right side
    10,167.84x = 92,973,300.92
  5. Step 5: Solve for x
    x = 92,973,300.92/10,167.84
  6. Step 6: Final answer
    x = 9,143.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.