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Finding the Fourth Proportional to 12,705.71, 17,536.81 and 8,456.94

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Solution

The fourth proportional to 12,705.71, 17,536.81 and 8,456.94 is: 11,672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.71 : 17,536.81 = 8,456.94 : x
  2. Step 2: Convert to fraction form
    12,705.71/17,536.81 = 8,456.94/x
  3. Step 3: Cross multiply
    12,705.71x = 17,536.81 × 8,456.94
  4. Step 4: Simplify right side
    12,705.71x = 148,307,720.89
  5. Step 5: Solve for x
    x = 148,307,720.89/12,705.71
  6. Step 6: Final answer
    x = 11,672.52

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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.