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Finding the Fourth Proportional to 27,638.69, 41,427.90 and 13,570.79

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Solution

The fourth proportional to 27,638.69, 41,427.90 and 13,570.79 is: 20,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.69 : 41,427.90 = 13,570.79 : x
  2. Step 2: Convert to fraction form
    27,638.69/41,427.90 = 13,570.79/x
  3. Step 3: Cross multiply
    27,638.69x = 41,427.90 × 13,570.79
  4. Step 4: Simplify right side
    27,638.69x = 562,209,123.90
  5. Step 5: Solve for x
    x = 562,209,123.90/27,638.69
  6. Step 6: Final answer
    x = 20,341.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.