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Finding the Fourth Proportional to 14,144.70, 21,217.72 and 4,657.62

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Solution

The fourth proportional to 14,144.70, 21,217.72 and 4,657.62 is: 6,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.70 : 21,217.72 = 4,657.62 : x
  2. Step 2: Convert to fraction form
    14,144.70/21,217.72 = 4,657.62/x
  3. Step 3: Cross multiply
    14,144.70x = 21,217.72 × 4,657.62
  4. Step 4: Simplify right side
    14,144.70x = 98,824,077.03
  5. Step 5: Solve for x
    x = 98,824,077.03/14,144.70
  6. Step 6: Final answer
    x = 6,986.65

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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.