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Finding the Fourth Proportional to 19,638.59, 27,101.39 and 10,686.16

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Solution

The fourth proportional to 19,638.59, 27,101.39 and 10,686.16 is: 14,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.59 : 27,101.39 = 10,686.16 : x
  2. Step 2: Convert to fraction form
    19,638.59/27,101.39 = 10,686.16/x
  3. Step 3: Cross multiply
    19,638.59x = 27,101.39 × 10,686.16
  4. Step 4: Simplify right side
    19,638.59x = 289,609,770.21
  5. Step 5: Solve for x
    x = 289,609,770.21/19,638.59
  6. Step 6: Final answer
    x = 14,746.98

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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.