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Finding the Fourth Proportional to 17,488.67, 24,134.37 and 9,530.90

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Solution

The fourth proportional to 17,488.67, 24,134.37 and 9,530.90 is: 13,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.67 : 24,134.37 = 9,530.90 : x
  2. Step 2: Convert to fraction form
    17,488.67/24,134.37 = 9,530.90/x
  3. Step 3: Cross multiply
    17,488.67x = 24,134.37 × 9,530.90
  4. Step 4: Simplify right side
    17,488.67x = 230,022,267.03
  5. Step 5: Solve for x
    x = 230,022,267.03/17,488.67
  6. Step 6: Final answer
    x = 13,152.64

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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.