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Finding the Fourth Proportional to 27,056.25, 40,548.74 and 11,454.57

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Solution

The fourth proportional to 27,056.25, 40,548.74 and 11,454.57 is: 17,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,056.25 : 40,548.74 = 11,454.57 : x
  2. Step 2: Convert to fraction form
    27,056.25/40,548.74 = 11,454.57/x
  3. Step 3: Cross multiply
    27,056.25x = 40,548.74 × 11,454.57
  4. Step 4: Simplify right side
    27,056.25x = 464,468,323.47
  5. Step 5: Solve for x
    x = 464,468,323.47/27,056.25
  6. Step 6: Final answer
    x = 17,166.77

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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.