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Finding the Fourth Proportional to 14,613.40, 21,905.70 and 7,211.80

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Solution

The fourth proportional to 14,613.40, 21,905.70 and 7,211.80 is: 10,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.40 : 21,905.70 = 7,211.80 : x
  2. Step 2: Convert to fraction form
    14,613.40/21,905.70 = 7,211.80/x
  3. Step 3: Cross multiply
    14,613.40x = 21,905.70 × 7,211.80
  4. Step 4: Simplify right side
    14,613.40x = 157,979,527.26
  5. Step 5: Solve for x
    x = 157,979,527.26/14,613.40
  6. Step 6: Final answer
    x = 10,810.59

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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.