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Finding the Fourth Proportional to 12,186.45, 16,825.14 and 9,953.69

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Solution

The fourth proportional to 12,186.45, 16,825.14 and 9,953.69 is: 13,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.45 : 16,825.14 = 9,953.69 : x
  2. Step 2: Convert to fraction form
    12,186.45/16,825.14 = 9,953.69/x
  3. Step 3: Cross multiply
    12,186.45x = 16,825.14 × 9,953.69
  4. Step 4: Simplify right side
    12,186.45x = 167,472,143.64
  5. Step 5: Solve for x
    x = 167,472,143.64/12,186.45
  6. Step 6: Final answer
    x = 13,742.49

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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.