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Finding the Fourth Proportional to 27,389.28, 37,797.18 and 14,814

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Solution

The fourth proportional to 27,389.28, 37,797.18 and 14,814 is: 20,443.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,389.28 : 37,797.18 = 14,814 : x
  2. Step 2: Convert to fraction form
    27,389.28/37,797.18 = 14,814/x
  3. Step 3: Cross multiply
    27,389.28x = 37,797.18 × 14,814
  4. Step 4: Simplify right side
    27,389.28x = 559,927,424.52
  5. Step 5: Solve for x
    x = 559,927,424.52/27,389.28
  6. Step 6: Final answer
    x = 20,443.31

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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.