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Finding the Fourth Proportional to 12,130.97, 16,740.80 and 6,825.87

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Solution

The fourth proportional to 12,130.97, 16,740.80 and 6,825.87 is: 9,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.97 : 16,740.80 = 6,825.87 : x
  2. Step 2: Convert to fraction form
    12,130.97/16,740.80 = 6,825.87/x
  3. Step 3: Cross multiply
    12,130.97x = 16,740.80 × 6,825.87
  4. Step 4: Simplify right side
    12,130.97x = 114,270,490.37
  5. Step 5: Solve for x
    x = 114,270,490.37/12,130.97
  6. Step 6: Final answer
    x = 9,419.74

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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.