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Finding the Fourth Proportional to 12,825.54, 17,699.85 and 7,235.46

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Solution

The fourth proportional to 12,825.54, 17,699.85 and 7,235.46 is: 9,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.54 : 17,699.85 = 7,235.46 : x
  2. Step 2: Convert to fraction form
    12,825.54/17,699.85 = 7,235.46/x
  3. Step 3: Cross multiply
    12,825.54x = 17,699.85 × 7,235.46
  4. Step 4: Simplify right side
    12,825.54x = 128,066,556.68
  5. Step 5: Solve for x
    x = 128,066,556.68/12,825.54
  6. Step 6: Final answer
    x = 9,985.28

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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.