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Finding the Fourth Proportional to 13,423.76, 20,123.30 and 4,652.54

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Solution

The fourth proportional to 13,423.76, 20,123.30 and 4,652.54 is: 6,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.76 : 20,123.30 = 4,652.54 : x
  2. Step 2: Convert to fraction form
    13,423.76/20,123.30 = 4,652.54/x
  3. Step 3: Cross multiply
    13,423.76x = 20,123.30 × 4,652.54
  4. Step 4: Simplify right side
    13,423.76x = 93,624,458.18
  5. Step 5: Solve for x
    x = 93,624,458.18/13,423.76
  6. Step 6: Final answer
    x = 6,974.53

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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.