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Finding the Fourth Proportional to 27,382.68, 37,788.12 and 14,807.44

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Solution

The fourth proportional to 27,382.68, 37,788.12 and 14,807.44 is: 20,434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.68 : 37,788.12 = 14,807.44 : x
  2. Step 2: Convert to fraction form
    27,382.68/37,788.12 = 14,807.44/x
  3. Step 3: Cross multiply
    27,382.68x = 37,788.12 × 14,807.44
  4. Step 4: Simplify right side
    27,382.68x = 559,545,319.61
  5. Step 5: Solve for x
    x = 559,545,319.61/27,382.68
  6. Step 6: Final answer
    x = 20,434.28

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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.