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Finding the Fourth Proportional to 17,488.58, 24,134.52 and 9,530.81

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Solution

The fourth proportional to 17,488.58, 24,134.52 and 9,530.81 is: 13,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,488.58 : 24,134.52 = 9,530.81 : x
  2. Step 2: Convert to fraction form
    17,488.58/24,134.52 = 9,530.81/x
  3. Step 3: Cross multiply
    17,488.58x = 24,134.52 × 9,530.81
  4. Step 4: Simplify right side
    17,488.58x = 230,021,524.56
  5. Step 5: Solve for x
    x = 230,021,524.56/17,488.58
  6. Step 6: Final answer
    x = 13,152.67

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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.