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Finding the Fourth Proportional to 25,668.64, 38,503.92 and 7,201.12

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Solution

The fourth proportional to 25,668.64, 38,503.92 and 7,201.12 is: 10,801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668.64 : 38,503.92 = 7,201.12 : x
  2. Step 2: Convert to fraction form
    25,668.64/38,503.92 = 7,201.12/x
  3. Step 3: Cross multiply
    25,668.64x = 38,503.92 × 7,201.12
  4. Step 4: Simplify right side
    25,668.64x = 277,271,348.39
  5. Step 5: Solve for x
    x = 277,271,348.39/25,668.64
  6. Step 6: Final answer
    x = 10,801.95

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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.