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Finding the Fourth Proportional to 17,638.95, 24,341.84 and 9,681.27

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Solution

The fourth proportional to 17,638.95, 24,341.84 and 9,681.27 is: 13,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.95 : 24,341.84 = 9,681.27 : x
  2. Step 2: Convert to fraction form
    17,638.95/24,341.84 = 9,681.27/x
  3. Step 3: Cross multiply
    17,638.95x = 24,341.84 × 9,681.27
  4. Step 4: Simplify right side
    17,638.95x = 235,659,876.93
  5. Step 5: Solve for x
    x = 235,659,876.93/17,638.95
  6. Step 6: Final answer
    x = 13,360.20

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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.