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Finding the Fourth Proportional to 17,567.70, 24,243.42 and 9,609.94

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Solution

The fourth proportional to 17,567.70, 24,243.42 and 9,609.94 is: 13,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.70 : 24,243.42 = 9,609.94 : x
  2. Step 2: Convert to fraction form
    17,567.70/24,243.42 = 9,609.94/x
  3. Step 3: Cross multiply
    17,567.70x = 24,243.42 × 9,609.94
  4. Step 4: Simplify right side
    17,567.70x = 232,977,811.59
  5. Step 5: Solve for x
    x = 232,977,811.59/17,567.70
  6. Step 6: Final answer
    x = 13,261.71

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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.