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Finding the Fourth Proportional to 25,556.34, 38,313.56 and 11,512.16

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Solution

The fourth proportional to 25,556.34, 38,313.56 and 11,512.16 is: 17,258.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,556.34 : 38,313.56 = 11,512.16 : x
  2. Step 2: Convert to fraction form
    25,556.34/38,313.56 = 11,512.16/x
  3. Step 3: Cross multiply
    25,556.34x = 38,313.56 × 11,512.16
  4. Step 4: Simplify right side
    25,556.34x = 441,071,670.10
  5. Step 5: Solve for x
    x = 441,071,670.10/25,556.34
  6. Step 6: Final answer
    x = 17,258.80

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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.