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Finding the Fourth Proportional to 12,825.48, 17,700.06 and 7,161.35

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Solution

The fourth proportional to 12,825.48, 17,700.06 and 7,161.35 is: 9,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.48 : 17,700.06 = 7,161.35 : x
  2. Step 2: Convert to fraction form
    12,825.48/17,700.06 = 7,161.35/x
  3. Step 3: Cross multiply
    12,825.48x = 17,700.06 × 7,161.35
  4. Step 4: Simplify right side
    12,825.48x = 126,756,236.18
  5. Step 5: Solve for x
    x = 126,756,236.18/12,825.48
  6. Step 6: Final answer
    x = 9,883.16

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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.