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Finding the Fourth Proportional to 17,530.10, 24,191.79 and 9,572.15

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Solution

The fourth proportional to 17,530.10, 24,191.79 and 9,572.15 is: 13,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.10 : 24,191.79 = 9,572.15 : x
  2. Step 2: Convert to fraction form
    17,530.10/24,191.79 = 9,572.15/x
  3. Step 3: Cross multiply
    17,530.10x = 24,191.79 × 9,572.15
  4. Step 4: Simplify right side
    17,530.10x = 231,567,467.23
  5. Step 5: Solve for x
    x = 231,567,467.23/17,530.10
  6. Step 6: Final answer
    x = 13,209.71

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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.