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Finding the Fourth Proportional to 27,382.75, 37,788.20 and 14,807.50

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Solution

The fourth proportional to 27,382.75, 37,788.20 and 14,807.50 is: 20,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.75 : 37,788.20 = 14,807.50 : x
  2. Step 2: Convert to fraction form
    27,382.75/37,788.20 = 14,807.50/x
  3. Step 3: Cross multiply
    27,382.75x = 37,788.20 × 14,807.50
  4. Step 4: Simplify right side
    27,382.75x = 559,548,563.73
  5. Step 5: Solve for x
    x = 559,548,563.73/27,382.75
  6. Step 6: Final answer
    x = 20,434.35

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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.