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Finding the Fourth Proportional to 27,382.88, 37,788.24 and 14,807.60

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Solution

The fourth proportional to 27,382.88, 37,788.24 and 14,807.60 is: 20,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.88 : 37,788.24 = 14,807.60 : x
  2. Step 2: Convert to fraction form
    27,382.88/37,788.24 = 14,807.60/x
  3. Step 3: Cross multiply
    27,382.88x = 37,788.24 × 14,807.60
  4. Step 4: Simplify right side
    27,382.88x = 559,553,142.62
  5. Step 5: Solve for x
    x = 559,553,142.62/27,382.88
  6. Step 6: Final answer
    x = 20,434.42

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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.