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Finding the Fourth Proportional to 27,420.34, 37,839.90 and 14,845

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Solution

The fourth proportional to 27,420.34, 37,839.90 and 14,845 is: 20,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,420.34 : 37,839.90 = 14,845 : x
  2. Step 2: Convert to fraction form
    27,420.34/37,839.90 = 14,845/x
  3. Step 3: Cross multiply
    27,420.34x = 37,839.90 × 14,845
  4. Step 4: Simplify right side
    27,420.34x = 561,733,315.50
  5. Step 5: Solve for x
    x = 561,733,315.50/27,420.34
  6. Step 6: Final answer
    x = 20,486.01

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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.