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Finding the Fourth Proportional to 12,130.84, 16,739.92 and 6,826

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Solution

The fourth proportional to 12,130.84, 16,739.92 and 6,826 is: 9,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.84 : 16,739.92 = 6,826 : x
  2. Step 2: Convert to fraction form
    12,130.84/16,739.92 = 6,826/x
  3. Step 3: Cross multiply
    12,130.84x = 16,739.92 × 6,826
  4. Step 4: Simplify right side
    12,130.84x = 114,266,693.92
  5. Step 5: Solve for x
    x = 114,266,693.92/12,130.84
  6. Step 6: Final answer
    x = 9,419.52

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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.