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Finding the Fourth Proportional to 19,989.50, 27,587.94 and 11,606

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Solution

The fourth proportional to 19,989.50, 27,587.94 and 11,606 is: 16,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.50 : 27,587.94 = 11,606 : x
  2. Step 2: Convert to fraction form
    19,989.50/27,587.94 = 11,606/x
  3. Step 3: Cross multiply
    19,989.50x = 27,587.94 × 11,606
  4. Step 4: Simplify right side
    19,989.50x = 320,185,631.64
  5. Step 5: Solve for x
    x = 320,185,631.64/19,989.50
  6. Step 6: Final answer
    x = 16,017.69

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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.