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Finding the Fourth Proportional to 13,058.18, 19,685.12 and 12,189.20

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Solution

The fourth proportional to 13,058.18, 19,685.12 and 12,189.20 is: 18,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.18 : 19,685.12 = 12,189.20 : x
  2. Step 2: Convert to fraction form
    13,058.18/19,685.12 = 12,189.20/x
  3. Step 3: Cross multiply
    13,058.18x = 19,685.12 × 12,189.20
  4. Step 4: Simplify right side
    13,058.18x = 239,945,864.70
  5. Step 5: Solve for x
    x = 239,945,864.70/13,058.18
  6. Step 6: Final answer
    x = 18,375.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.