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Finding the Fourth Proportional to 14,586.75, 20,128.52 and 8,211.30

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Solution

The fourth proportional to 14,586.75, 20,128.52 and 8,211.30 is: 11,330.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.75 : 20,128.52 = 8,211.30 : x
  2. Step 2: Convert to fraction form
    14,586.75/20,128.52 = 8,211.30/x
  3. Step 3: Cross multiply
    14,586.75x = 20,128.52 × 8,211.30
  4. Step 4: Simplify right side
    14,586.75x = 165,281,384.97
  5. Step 5: Solve for x
    x = 165,281,384.97/14,586.75
  6. Step 6: Final answer
    x = 11,330.93

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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.