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Finding the Fourth Proportional to 13,404.61, 18,500.57 and 7,438.20

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Solution

The fourth proportional to 13,404.61, 18,500.57 and 7,438.20 is: 10,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,404.61 : 18,500.57 = 7,438.20 : x
  2. Step 2: Convert to fraction form
    13,404.61/18,500.57 = 7,438.20/x
  3. Step 3: Cross multiply
    13,404.61x = 18,500.57 × 7,438.20
  4. Step 4: Simplify right side
    13,404.61x = 137,610,861.10
  5. Step 5: Solve for x
    x = 137,610,861.10/13,404.61
  6. Step 6: Final answer
    x = 10,265.94

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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.