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Finding the Fourth Proportional to 14,838.34, 20,477.15 and 8,123.85

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Solution

The fourth proportional to 14,838.34, 20,477.15 and 8,123.85 is: 11,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.34 : 20,477.15 = 8,123.85 : x
  2. Step 2: Convert to fraction form
    14,838.34/20,477.15 = 8,123.85/x
  3. Step 3: Cross multiply
    14,838.34x = 20,477.15 × 8,123.85
  4. Step 4: Simplify right side
    14,838.34x = 166,353,295.03
  5. Step 5: Solve for x
    x = 166,353,295.03/14,838.34
  6. Step 6: Final answer
    x = 11,211.04

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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.