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Finding the Fourth Proportional to 13,673.64, 20,500.74 and 6,549.72

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Solution

The fourth proportional to 13,673.64, 20,500.74 and 6,549.72 is: 9,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.64 : 20,500.74 = 6,549.72 : x
  2. Step 2: Convert to fraction form
    13,673.64/20,500.74 = 6,549.72/x
  3. Step 3: Cross multiply
    13,673.64x = 20,500.74 × 6,549.72
  4. Step 4: Simplify right side
    13,673.64x = 134,274,106.79
  5. Step 5: Solve for x
    x = 134,274,106.79/13,673.64
  6. Step 6: Final answer
    x = 9,819.92

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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.