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Finding the Fourth Proportional to 19,638.78, 27,105.03 and 12,564.96

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Solution

The fourth proportional to 19,638.78, 27,105.03 and 12,564.96 is: 17,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.78 : 27,105.03 = 12,564.96 : x
  2. Step 2: Convert to fraction form
    19,638.78/27,105.03 = 12,564.96/x
  3. Step 3: Cross multiply
    19,638.78x = 27,105.03 × 12,564.96
  4. Step 4: Simplify right side
    19,638.78x = 340,573,617.75
  5. Step 5: Solve for x
    x = 340,573,617.75/19,638.78
  6. Step 6: Final answer
    x = 17,341.89

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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.