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Finding the Fourth Proportional to 12,455.57, 17,184.35 and 8,214.62

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Solution

The fourth proportional to 12,455.57, 17,184.35 and 8,214.62 is: 11,333.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,455.57 : 17,184.35 = 8,214.62 : x
  2. Step 2: Convert to fraction form
    12,455.57/17,184.35 = 8,214.62/x
  3. Step 3: Cross multiply
    12,455.57x = 17,184.35 × 8,214.62
  4. Step 4: Simplify right side
    12,455.57x = 141,162,839.81
  5. Step 5: Solve for x
    x = 141,162,839.81/12,455.57
  6. Step 6: Final answer
    x = 11,333.31

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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.