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Finding the Fourth Proportional to 12,089.82, 16,700.77 and 11,498.66

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Solution

The fourth proportional to 12,089.82, 16,700.77 and 11,498.66 is: 15,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.82 : 16,700.77 = 11,498.66 : x
  2. Step 2: Convert to fraction form
    12,089.82/16,700.77 = 11,498.66/x
  3. Step 3: Cross multiply
    12,089.82x = 16,700.77 × 11,498.66
  4. Step 4: Simplify right side
    12,089.82x = 192,036,334.97
  5. Step 5: Solve for x
    x = 192,036,334.97/12,089.82
  6. Step 6: Final answer
    x = 15,884.14

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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.