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Finding the Fourth Proportional to 12,124.16, 18,186.24 and 10,475.72

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Solution

The fourth proportional to 12,124.16, 18,186.24 and 10,475.72 is: 15,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124.16 : 18,186.24 = 10,475.72 : x
  2. Step 2: Convert to fraction form
    12,124.16/18,186.24 = 10,475.72/x
  3. Step 3: Cross multiply
    12,124.16x = 18,186.24 × 10,475.72
  4. Step 4: Simplify right side
    12,124.16x = 190,513,958.09
  5. Step 5: Solve for x
    x = 190,513,958.09/12,124.16
  6. Step 6: Final answer
    x = 15,713.58

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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.