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Finding the Fourth Proportional to 27,348, 37,740.27 and 14,772.75

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Solution

The fourth proportional to 27,348, 37,740.27 and 14,772.75 is: 20,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348 : 37,740.27 = 14,772.75 : x
  2. Step 2: Convert to fraction form
    27,348/37,740.27 = 14,772.75/x
  3. Step 3: Cross multiply
    27,348x = 37,740.27 × 14,772.75
  4. Step 4: Simplify right side
    27,348x = 557,527,573.64
  5. Step 5: Solve for x
    x = 557,527,573.64/27,348
  6. Step 6: Final answer
    x = 20,386.41

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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.