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Finding the Fourth Proportional to 12,523.80, 17,285.82 and 8,275.68

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Solution

The fourth proportional to 12,523.80, 17,285.82 and 8,275.68 is: 11,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.80 : 17,285.82 = 8,275.68 : x
  2. Step 2: Convert to fraction form
    12,523.80/17,285.82 = 8,275.68/x
  3. Step 3: Cross multiply
    12,523.80x = 17,285.82 × 8,275.68
  4. Step 4: Simplify right side
    12,523.80x = 143,051,914.86
  5. Step 5: Solve for x
    x = 143,051,914.86/12,523.80
  6. Step 6: Final answer
    x = 11,422.40

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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.