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Finding the Fourth Proportional to 12,005.70, 18,017.82 and 5,436.51

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Solution

The fourth proportional to 12,005.70, 18,017.82 and 5,436.51 is: 8,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.70 : 18,017.82 = 5,436.51 : x
  2. Step 2: Convert to fraction form
    12,005.70/18,017.82 = 5,436.51/x
  3. Step 3: Cross multiply
    12,005.70x = 18,017.82 × 5,436.51
  4. Step 4: Simplify right side
    12,005.70x = 97,954,058.61
  5. Step 5: Solve for x
    x = 97,954,058.61/12,005.70
  6. Step 6: Final answer
    x = 8,158.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.