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Finding the Fourth Proportional to 19,638.80, 27,101.28 and 10,686.20

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Solution

The fourth proportional to 19,638.80, 27,101.28 and 10,686.20 is: 14,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.80 : 27,101.28 = 10,686.20 : x
  2. Step 2: Convert to fraction form
    19,638.80/27,101.28 = 10,686.20/x
  3. Step 3: Cross multiply
    19,638.80x = 27,101.28 × 10,686.20
  4. Step 4: Simplify right side
    19,638.80x = 289,609,698.34
  5. Step 5: Solve for x
    x = 289,609,698.34/19,638.80
  6. Step 6: Final answer
    x = 14,746.81

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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.