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Finding the Fourth Proportional to 25,604.79, 35,334.75 and 14,275

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Solution

The fourth proportional to 25,604.79, 35,334.75 and 14,275 is: 19,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604.79 : 35,334.75 = 14,275 : x
  2. Step 2: Convert to fraction form
    25,604.79/35,334.75 = 14,275/x
  3. Step 3: Cross multiply
    25,604.79x = 35,334.75 × 14,275
  4. Step 4: Simplify right side
    25,604.79x = 504,403,556.25
  5. Step 5: Solve for x
    x = 504,403,556.25/25,604.79
  6. Step 6: Final answer
    x = 19,699.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.