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Finding the Fourth Proportional to 12,186.45, 18,254.16 and 10,101.51

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Solution

The fourth proportional to 12,186.45, 18,254.16 and 10,101.51 is: 15,131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.45 : 18,254.16 = 10,101.51 : x
  2. Step 2: Convert to fraction form
    12,186.45/18,254.16 = 10,101.51/x
  3. Step 3: Cross multiply
    12,186.45x = 18,254.16 × 10,101.51
  4. Step 4: Simplify right side
    12,186.45x = 184,394,579.78
  5. Step 5: Solve for x
    x = 184,394,579.78/12,186.45
  6. Step 6: Final answer
    x = 15,131.12

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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.