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Finding the Fourth Proportional to 30,409.57, 45,613.35 and 13,769.60

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Solution

The fourth proportional to 30,409.57, 45,613.35 and 13,769.60 is: 20,653.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.57 : 45,613.35 = 13,769.60 : x
  2. Step 2: Convert to fraction form
    30,409.57/45,613.35 = 13,769.60/x
  3. Step 3: Cross multiply
    30,409.57x = 45,613.35 × 13,769.60
  4. Step 4: Simplify right side
    30,409.57x = 628,077,584.16
  5. Step 5: Solve for x
    x = 628,077,584.16/30,409.57
  6. Step 6: Final answer
    x = 20,653.94

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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.