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Finding the Fourth Proportional to 12,130.80, 16,739.31 and 6,825.50

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Solution

The fourth proportional to 12,130.80, 16,739.31 and 6,825.50 is: 9,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.80 : 16,739.31 = 6,825.50 : x
  2. Step 2: Convert to fraction form
    12,130.80/16,739.31 = 6,825.50/x
  3. Step 3: Cross multiply
    12,130.80x = 16,739.31 × 6,825.50
  4. Step 4: Simplify right side
    12,130.80x = 114,254,160.41
  5. Step 5: Solve for x
    x = 114,254,160.41/12,130.80
  6. Step 6: Final answer
    x = 9,418.52

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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.