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Finding the Fourth Proportional to 12,376.80, 18,565.20 and 11,429.10

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Solution

The fourth proportional to 12,376.80, 18,565.20 and 11,429.10 is: 17,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.80 : 18,565.20 = 11,429.10 : x
  2. Step 2: Convert to fraction form
    12,376.80/18,565.20 = 11,429.10/x
  3. Step 3: Cross multiply
    12,376.80x = 18,565.20 × 11,429.10
  4. Step 4: Simplify right side
    12,376.80x = 212,183,527.32
  5. Step 5: Solve for x
    x = 212,183,527.32/12,376.80
  6. Step 6: Final answer
    x = 17,143.65

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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.