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Finding the Fourth Proportional to 27,490, 37,936.20 and 14,914.75

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Solution

The fourth proportional to 27,490, 37,936.20 and 14,914.75 is: 20,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490 : 37,936.20 = 14,914.75 : x
  2. Step 2: Convert to fraction form
    27,490/37,936.20 = 14,914.75/x
  3. Step 3: Cross multiply
    27,490x = 37,936.20 × 14,914.75
  4. Step 4: Simplify right side
    27,490x = 565,808,938.95
  5. Step 5: Solve for x
    x = 565,808,938.95/27,490
  6. Step 6: Final answer
    x = 20,582.36

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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.