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Finding the Fourth Proportional to 12,162.42, 16,784.21 and 7,688.18

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Solution

The fourth proportional to 12,162.42, 16,784.21 and 7,688.18 is: 10,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.42 : 16,784.21 = 7,688.18 : x
  2. Step 2: Convert to fraction form
    12,162.42/16,784.21 = 7,688.18/x
  3. Step 3: Cross multiply
    12,162.42x = 16,784.21 × 7,688.18
  4. Step 4: Simplify right side
    12,162.42x = 129,040,088.82
  5. Step 5: Solve for x
    x = 129,040,088.82/12,162.42
  6. Step 6: Final answer
    x = 10,609.74

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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.