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Finding the Fourth Proportional to 12,295.12, 16,960.80 and 8,317.58

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Solution

The fourth proportional to 12,295.12, 16,960.80 and 8,317.58 is: 11,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,295.12 : 16,960.80 = 8,317.58 : x
  2. Step 2: Convert to fraction form
    12,295.12/16,960.80 = 8,317.58/x
  3. Step 3: Cross multiply
    12,295.12x = 16,960.80 × 8,317.58
  4. Step 4: Simplify right side
    12,295.12x = 141,072,810.86
  5. Step 5: Solve for x
    x = 141,072,810.86/12,295.12
  6. Step 6: Final answer
    x = 11,473.89

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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.