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Finding the Fourth Proportional to 17,438.24, 24,064.08 and 9,480.30

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Solution

The fourth proportional to 17,438.24, 24,064.08 and 9,480.30 is: 13,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.24 : 24,064.08 = 9,480.30 : x
  2. Step 2: Convert to fraction form
    17,438.24/24,064.08 = 9,480.30/x
  3. Step 3: Cross multiply
    17,438.24x = 24,064.08 × 9,480.30
  4. Step 4: Simplify right side
    17,438.24x = 228,134,697.62
  5. Step 5: Solve for x
    x = 228,134,697.62/17,438.24
  6. Step 6: Final answer
    x = 13,082.44

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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.