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Finding the Fourth Proportional to 27,429.87, 41,129.41 and 8,706.42

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Solution

The fourth proportional to 27,429.87, 41,129.41 and 8,706.42 is: 13,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,429.87 : 41,129.41 = 8,706.42 : x
  2. Step 2: Convert to fraction form
    27,429.87/41,129.41 = 8,706.42/x
  3. Step 3: Cross multiply
    27,429.87x = 41,129.41 × 8,706.42
  4. Step 4: Simplify right side
    27,429.87x = 358,089,712.17
  5. Step 5: Solve for x
    x = 358,089,712.17/27,429.87
  6. Step 6: Final answer
    x = 13,054.74

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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.