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Finding the Fourth Proportional to 12,638.59, 17,437.75 and 8,162.53

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Solution

The fourth proportional to 12,638.59, 17,437.75 and 8,162.53 is: 11,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.59 : 17,437.75 = 8,162.53 : x
  2. Step 2: Convert to fraction form
    12,638.59/17,437.75 = 8,162.53/x
  3. Step 3: Cross multiply
    12,638.59x = 17,437.75 × 8,162.53
  4. Step 4: Simplify right side
    12,638.59x = 142,336,157.51
  5. Step 5: Solve for x
    x = 142,336,157.51/12,638.59
  6. Step 6: Final answer
    x = 11,262.03

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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.