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Finding the Fourth Proportional to 13,625.64, 20,438.64 and 4,861.08

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Solution

The fourth proportional to 13,625.64, 20,438.64 and 4,861.08 is: 7,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,625.64 : 20,438.64 = 4,861.08 : x
  2. Step 2: Convert to fraction form
    13,625.64/20,438.64 = 4,861.08/x
  3. Step 3: Cross multiply
    13,625.64x = 20,438.64 × 4,861.08
  4. Step 4: Simplify right side
    13,625.64x = 99,353,864.13
  5. Step 5: Solve for x
    x = 99,353,864.13/13,625.64
  6. Step 6: Final answer
    x = 7,291.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.