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Finding the Fourth Proportional to 27,460.89, 37,896 and 14,885.64

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Solution

The fourth proportional to 27,460.89, 37,896 and 14,885.64 is: 20,542.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.89 : 37,896 = 14,885.64 : x
  2. Step 2: Convert to fraction form
    27,460.89/37,896 = 14,885.64/x
  3. Step 3: Cross multiply
    27,460.89x = 37,896 × 14,885.64
  4. Step 4: Simplify right side
    27,460.89x = 564,106,213.44
  5. Step 5: Solve for x
    x = 564,106,213.44/27,460.89
  6. Step 6: Final answer
    x = 20,542.17

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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.