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Finding the Fourth Proportional to 12,186.10, 18,277.80 and 3,421.90

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Solution

The fourth proportional to 12,186.10, 18,277.80 and 3,421.90 is: 5,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.10 : 18,277.80 = 3,421.90 : x
  2. Step 2: Convert to fraction form
    12,186.10/18,277.80 = 3,421.90/x
  3. Step 3: Cross multiply
    12,186.10x = 18,277.80 × 3,421.90
  4. Step 4: Simplify right side
    12,186.10x = 62,544,803.82
  5. Step 5: Solve for x
    x = 62,544,803.82/12,186.10
  6. Step 6: Final answer
    x = 5,132.47

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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.