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Finding the Fourth Proportional to 30,123.68, 45,194.16 and 11,668.64

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Solution

The fourth proportional to 30,123.68, 45,194.16 and 11,668.64 is: 17,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.68 : 45,194.16 = 11,668.64 : x
  2. Step 2: Convert to fraction form
    30,123.68/45,194.16 = 11,668.64/x
  3. Step 3: Cross multiply
    30,123.68x = 45,194.16 × 11,668.64
  4. Step 4: Simplify right side
    30,123.68x = 527,354,383.14
  5. Step 5: Solve for x
    x = 527,354,383.14/30,123.68
  6. Step 6: Final answer
    x = 17,506.31

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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.