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Finding the Fourth Proportional to 12,682.40, 17,495.80 and 8,207.58

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Solution

The fourth proportional to 12,682.40, 17,495.80 and 8,207.58 is: 11,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.40 : 17,495.80 = 8,207.58 : x
  2. Step 2: Convert to fraction form
    12,682.40/17,495.80 = 8,207.58/x
  3. Step 3: Cross multiply
    12,682.40x = 17,495.80 × 8,207.58
  4. Step 4: Simplify right side
    12,682.40x = 143,598,178.16
  5. Step 5: Solve for x
    x = 143,598,178.16/12,682.40
  6. Step 6: Final answer
    x = 11,322.63

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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.