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Finding the Fourth Proportional to 11,677.49, 16,110.73 and 8,989.53

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Solution

The fourth proportional to 11,677.49, 16,110.73 and 8,989.53 is: 12,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.49 : 16,110.73 = 8,989.53 : x
  2. Step 2: Convert to fraction form
    11,677.49/16,110.73 = 8,989.53/x
  3. Step 3: Cross multiply
    11,677.49x = 16,110.73 × 8,989.53
  4. Step 4: Simplify right side
    11,677.49x = 144,827,908.46
  5. Step 5: Solve for x
    x = 144,827,908.46/11,677.49
  6. Step 6: Final answer
    x = 12,402.31

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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.