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Finding the Fourth Proportional to 17,638.96, 24,344.40 and 10,567.12

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Solution

The fourth proportional to 17,638.96, 24,344.40 and 10,567.12 is: 14,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.96 : 24,344.40 = 10,567.12 : x
  2. Step 2: Convert to fraction form
    17,638.96/24,344.40 = 10,567.12/x
  3. Step 3: Cross multiply
    17,638.96x = 24,344.40 × 10,567.12
  4. Step 4: Simplify right side
    17,638.96x = 257,250,196.13
  5. Step 5: Solve for x
    x = 257,250,196.13/17,638.96
  6. Step 6: Final answer
    x = 14,584.20

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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.