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Finding the Fourth Proportional to 17,438.58, 24,064.25 and 9,480.76

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Solution

The fourth proportional to 17,438.58, 24,064.25 and 9,480.76 is: 13,082.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.58 : 24,064.25 = 9,480.76 : x
  2. Step 2: Convert to fraction form
    17,438.58/24,064.25 = 9,480.76/x
  3. Step 3: Cross multiply
    17,438.58x = 24,064.25 × 9,480.76
  4. Step 4: Simplify right side
    17,438.58x = 228,147,271.27
  5. Step 5: Solve for x
    x = 228,147,271.27/17,438.58
  6. Step 6: Final answer
    x = 13,082.90

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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.