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Finding the Fourth Proportional to 19,638.86, 27,102.20 and 10,686.94

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Solution

The fourth proportional to 19,638.86, 27,102.20 and 10,686.94 is: 14,748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.86 : 27,102.20 = 10,686.94 : x
  2. Step 2: Convert to fraction form
    19,638.86/27,102.20 = 10,686.94/x
  3. Step 3: Cross multiply
    19,638.86x = 27,102.20 × 10,686.94
  4. Step 4: Simplify right side
    19,638.86x = 289,639,464.08
  5. Step 5: Solve for x
    x = 289,639,464.08/19,638.86
  6. Step 6: Final answer
    x = 14,748.29

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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.