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Finding the Fourth Proportional to 19,645.34, 27,109.74 and 10,692.86

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Solution

The fourth proportional to 19,645.34, 27,109.74 and 10,692.86 is: 14,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,645.34 : 27,109.74 = 10,692.86 : x
  2. Step 2: Convert to fraction form
    19,645.34/27,109.74 = 10,692.86/x
  3. Step 3: Cross multiply
    19,645.34x = 27,109.74 × 10,692.86
  4. Step 4: Simplify right side
    19,645.34x = 289,880,654.46
  5. Step 5: Solve for x
    x = 289,880,654.46/19,645.34
  6. Step 6: Final answer
    x = 14,755.70

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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.