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Finding the Fourth Proportional to 11,677.68, 17,433.35 and 11,267.61

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Solution

The fourth proportional to 11,677.68, 17,433.35 and 11,267.61 is: 16,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.68 : 17,433.35 = 11,267.61 : x
  2. Step 2: Convert to fraction form
    11,677.68/17,433.35 = 11,267.61/x
  3. Step 3: Cross multiply
    11,677.68x = 17,433.35 × 11,267.61
  4. Step 4: Simplify right side
    11,677.68x = 196,432,132.46
  5. Step 5: Solve for x
    x = 196,432,132.46/11,677.68
  6. Step 6: Final answer
    x = 16,821.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.