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Finding the Fourth Proportional to 14,706.38, 22,085.69 and 13,533.90

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Solution

The fourth proportional to 14,706.38, 22,085.69 and 13,533.90 is: 20,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.38 : 22,085.69 = 13,533.90 : x
  2. Step 2: Convert to fraction form
    14,706.38/22,085.69 = 13,533.90/x
  3. Step 3: Cross multiply
    14,706.38x = 22,085.69 × 13,533.90
  4. Step 4: Simplify right side
    14,706.38x = 298,905,452.22
  5. Step 5: Solve for x
    x = 298,905,452.22/14,706.38
  6. Step 6: Final answer
    x = 20,324.89

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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.